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GCD of 964, 976, 832, 900 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 964, 976, 832, 900 quickly. Get the easiest ways to solve the greatest common divisor of 964, 976, 832, 900 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 964, 976, 832, 900 with Factoring?

Given Input numbers are 964, 976, 832, 900

In the factoring method, we have to find the divisors of all numbers

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900


GCD of numbers is the greatest common divisor

So, the GCD (964, 976, 832, 900) = 4.

Find GCD of 964, 976, 832, 900 using Prime Factorization

Given numbers are 964, 976, 832, 900

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 22

Therefore, GCD of 964, 976, 832, 900 is 4.

Steps to Calculate GCD of 964, 976, 832, 900 using LCM Formula

Given numbers are 964, 976, 832, 900

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(964, 976) = 235216

GCD(964, 976) = ( 964 x 976 ) / 235216

= 964 / 976

= 964


Step2:

LCM(4, 832) = 832

GCD(4, 832) = ( 4 x 832 ) / 832

= 4 / 832

= 4


Step3:

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

= 4 / 900

= 4


So, Greatest Common Divisor of 964, 976, 832, 900 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 964, 976, 832, 900

Given numbers are 964, 976, 832, 900
The greatest common divisor of numbers 964, 976, 832, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 976, 832, 900 is 4.

FAQs on GCD of 964, 976, 832, 900 Calculator

1. What is the GCD of 964, 976, 832, 900?

GCD of given numbers 964, 976, 832, 900 is 4


2. How to calculate the greatest common divisor of 964, 976, 832, 900?

We can find the highest common divisor of 964, 976, 832, 900 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 964, 976, 832, 900 i.e 4.


3. How can I use the GCD of 964, 976, 832, 900Calculator?

Out the numbers 964, 976, 832, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.