HCF of 2048 and 960

The HCF of 2048 and 960 is 64. The highest common factor of 2048 and 960 is the value which divides the given two numbers evenly. The factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048,and the factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. Students can better understand the prime factorisation, long division and listing common factors methods used in the calculation of HCF.

What is the HCF of 2048 and 960?

The answer to this question is 64. The HCF of 2048 and 960 determined using three various methods are provided in brief in this article. The HCF of 2048 and 960 is 64, which divides the given two numbers evenly.

Also read: Highest common factor

How to Find HCF of 2048 and 960?

The HCF of 2048 and 960 can be found using the methods below:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 2048 and 960 by Prime Factorisation Method

The prime factorisation of 2048 and 960 is:

2048 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

960 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5

The common prime factors of 2048 and 960 = 2, 2, 2, 2, 2, 2

Hence, HCF (2048, 960) = 2 × 2 × 2 × 2 × 2 × 2 = 64

HCF of 2048 and 960 by Long Division Method

We can divide (2048, 960) by the prime factors so that the HCF of 2048 and 960 can be found using the long division method. The divisor we get with zero as the remainder is the HCF of 2048 and 960.

HCF of 2048 and 960

No further division can be done.

Hence, HCF (2048, 960) = 64

HCF of 2048 and 960 by Listing Common Factors

The HCF of 2048 and 960 can be determined by listing the common factors as given below:

Factors of 2048: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048

Factors of 960: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

There are 7 common factors of 2048 and 960, and they are 1, 2, 4, 8, 16, 32 and 64.

Therefore, the highest common factor of 2048 and 960 is 64.

Related Articles

Video Lesson on Properties of HCF and LCM

HCF of 2048 and 960 Solved Example

Question: Find the HCF of 2048 and 960 if the LCM is 30720.

Solution:

Given

LCM = 30720

We know that

HCF × LCM = 2048 × 960

HCF = (2048 × 960)/30720

HCF = 64

Hence, the HCF is 64.

Frequently Asked Questions on HCF of 2048 and 960

Q1

What is the HCF of 2048 and 960?

The HCF of 2048 and 960 is 64.
Q2

Calculate the HCF of 2048 and 960 using the long division method.

The HCF of 2048 and 960 using the long division method is 2048 divided by 960. The divisor 64 we get when the remainder is 0 is the HCF.
Q3

Write the methods used to find HCF of 2048 and 960.

The methods used to find the HCF of 2048 and 960 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

If LCM = 30720 and HCF = 64 for two numbers, find the other number when one number is 960.

Consider y as the other number

Given LCM = 30720 and HCF = 64

HCF × LCM = 960 × y

y = (HCF × LCM)/ 960

y = (64 × 30720)/ 960

y = 2048

Therefore, the other number is 2048.

Q5

Show the relation between HCF and LCM of 2048 and 960.

The relation between HCF and LCM of 2048 and 960 is

HCF × LCM = 2048 × 960

HCF × LCM = 1966080

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*