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GCD of 896, 972, 495, 856 Calculator

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


Online GCD Calculator is useful to find the GCD of 896, 972, 495, 856 quickly. Get the easiest ways to solve the greatest common divisor of 896, 972, 495, 856 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 896, 972, 495, 856 with Factoring?

Given Input numbers are 896, 972, 495, 856

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856


GCD of numbers is the greatest common divisor

So, the GCD (896, 972, 495, 856) = 1.

Find GCD of 896, 972, 495, 856 using Prime Factorization

Given numbers are 896, 972, 495, 856

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 856 are 2 x 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 896, 972, 495, 856 using LCM Formula

Given numbers are 896, 972, 495, 856

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

Apply this formula for all numbers.

Step1:

LCM(896, 972) = 217728

GCD(896, 972) = ( 896 x 972 ) / 217728

= 896 / 972

= 896


Step2:

LCM(4, 495) = 1980

GCD(4, 495) = ( 4 x 495 ) / 1980

= 4 / 495

= 4


Step3:

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

= 1 / 856

= 1


So, Greatest Common Divisor of 896, 972, 495, 856 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 896, 972, 495, 856

Given numbers are 896, 972, 495, 856
The greatest common divisor of numbers 896, 972, 495, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 972, 495, 856 is 1.

FAQs on GCD of 896, 972, 495, 856 Calculator

1. What is the GCD of 896, 972, 495, 856?

GCD of given numbers 896, 972, 495, 856 is 1


2. How to calculate the greatest common divisor of 896, 972, 495, 856?

We can find the highest common divisor of 896, 972, 495, 856 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 896, 972, 495, 856 i.e 1.


3. How can I use the GCD of 896, 972, 495, 856Calculator?

Out the numbers 896, 972, 495, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.