HCF of 10224 and 9648

The HCF of 10224 and 9648 is 144. The value which divides the 10224 and 9648 equally is the HCF. The factors of 10224 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112, 10224. And the factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648. The value of HCF of 10224 and 9648 calculated using prime factorisation, long division and listing common factors are shown here in a simple way by the faculty at BYJU’S.

Also read: Highest common factor

What is the HCF of 10224 and 9648?

The answer to this question is 144. The various methods to find the HCF of 10224 and 9648 are given in this article. The HCF of 10224 and 9648 is 144 which divides both the numbers exactly.

How to Find HCF of 10224 and 9648?

The methods used to find the HCF of 10224 and 9648 are:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 10224 and 9648 by Prime Factorisation Method

The prime factorisation of 10224 and 9648 is:

10224 = 2 × 2 × 2 × 2 × 3 × 3 × 71

9648 = 2 × 2 × 2 × 2 × 3 × 3 × 67

Common prime factors of 10224 and 9648 = 2 × 2 × 2 × 2 × 3 × 3 = 144

Therefore, HCF (10224, 9648) = 144

HCF of 10224 and 9648 by Long Division Method

To find the HCF, we have to divide the number 10224 by 9648. The HCF of 10224 and 9648 is the divisor value we obtain when the remainder is zero.

HCF of 10224 and 9648

No further division can be done.

Hence, HCF (10224, 9648) = 144

HCF of 10224 and 9648 by Listing Common Factors

The HCF of 10224 and 9648 by listing the common factors is:

Factors of 10224: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112, 10224

Factors of 9648: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648

There are 15 common factors of 10224 and 9648, and they are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.

Therefore, the highest common factor of 10224 and 9648 is 144.

Related Articles

Video Lesson on Properties of HCF and LCM

HCF of 10224 and 9648 Solved Example

Question: If the product of two numbers = 98641152 and HCF = 144, find the LCM.

Solution:

Given

Product of two numbers = 98641152

HCF = 144

HCF × LCM = Product of two numbers

144 × LCM = 98641152

LCM = 98641152/144

LCM = 685008

Hence, the LCM is 685008.

Frequently Asked Questions on HCF of 10224 and 9648

Q1

What is the HCF of 10224 and 9648 if the LCM is 685008?

Given

LCM = 685008

LCM × HCF = 10224 × 9648

HCF = (10224 × 9648)/685008

HCF = 98641152/685008

HCF = 144

Q2

Find the HCF of 10224 and 9648 using the long division method.

The HCF of 10224 and 9648 can be found using the long division method, by dividing 10224 by 9648. The divisor 144 we get, when the remainder becomes zero, is the HCF.
Q3

What are the methods used to find the HCF of 10224 and 9648?

The methods used to find the HCF of 10224 and 9648 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

What is the HCF of 10224 and 9648?

The HCF of 10224 and 9648 is 144.
Q5

Show the relation between HCF and LCM of 10224 and 9648.

The relation between HCF and LCM of 10224 and 9648 is

HCF × LCM = 10224 × 9648

HCF × LCM = 98641152

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