HCF of 1650 and 847

The HCF of 1650 and 847 is 11. The integer value, which divides the numbers 1650 and 847, is the HCF. Simple-to-understand steps are made use of in this article to help students memorise it with ease. The factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650, and the factors of 847 are 1, 7, 11, 77, 121, 847. The HCF of the given two numbers can be calculated using prime factorisation, long division and listing common factors.

Also read: Highest common factor

What is the HCF of 1650 and 847?

The answer to this question is 11. The steps followed to get the HCF of 1650 and 847 using methods like listing common factors, prime factorisation and division are given in this article. The HCF of 1650 and 847 is 11, which divides the given numbers exactly.

How to Find HCF of 1650 and 847?

The methods to determine the HCF of 1650 and 847 are as follows:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 1650 and 847 by Prime Factorisation Method

The prime factorisation of 1650 and 847 is given by:

1650 = 2 × 3 × 5 × 5 × 11

847 = 7 × 11 × 11

Common prime factor of 1650 and 847 = 11

Therefore, HCF (1650, 847) = 11

HCF of 1650 and 847 by Long Division Method

The HCF of 1650 and 847 can be obtained by dividing the numbers with their prime factors. The divisor 11 we get with zero as the remainder indicates the HCF.

HCF of 1650 and 847

No further division can be done.

Hence, HCF (1650, 847) = 11

HCF of 1650 and 847 by Listing Common Factors

Let us calculate the HCF of 1650 and 847 by listing common factors as given here:

Factors of 1650: 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650

Factors of 847: 1, 7, 11, 77, 121, 847

There are 2 common factors of 1650 and 847, and they are 1 and 11.

Therefore, the highest common factor of 1650 and 847 is 11.

Related Articles

Video Lesson on Properties of HCF and LCM

HCF of 1650 and 847 Solved Example

Question: Determine the HCF if the LCM of 1650 and 847 is 127050.

Solution:

Given

LCM = 127050

LCM × HCF = 1650 × 847

HCF = (1650 × 847)/127050

HCF = 11

Hence, the HCF is 11.

Frequently Asked Questions on HCF of 1650 and 847

Q1

What is the HCF of 1650 and 847?

The HCF of 1650 and 847 is 11.
Q2

How can the HCF of 1650 and 847 be found with the help of the long division method?

With the help of the long division method, the HCF of 1650 and 847 is the value we obtain when 1650 is divided by 847. The divisor 11 when remainder is 0 is the HCF.
Q3

Which methods can be used to find HCF of 1650 and 847?

The methods which can be used to find the HCF of 1650 and 847 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

If LCM = 127050 and HCF = 11 for two numbers, determine the other number when one number is 847.

Consider y as the other number

Given LCM = 127050 and HCF = 11

HCF × LCM = 847 × y

y = (HCF × LCM)/ 847

y = (11 × 127050)/ 847

y = 1650

Therefore, the other number is 1650.

Q5

Show the relation between HCF and LCM of 1650 and 847.

The relation between HCF and LCM of 1650 and 847 is:

HCF × LCM = 1650 × 847

HCF × LCM = 1397550

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