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GCD of 920, 756, 851, 947 Calculator

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


Online GCD Calculator is useful to find the GCD of 920, 756, 851, 947 quickly. Get the easiest ways to solve the greatest common divisor of 920, 756, 851, 947 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 756, 851, 947 with Factoring?

Given Input numbers are 920, 756, 851, 947

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947


GCD of numbers is the greatest common divisor

So, the GCD (920, 756, 851, 947) = 1.

Find GCD of 920, 756, 851, 947 using Prime Factorization

Given numbers are 920, 756, 851, 947

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 851 are 23 x 37

Prime factors of 947 are 947

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

Steps to Calculate GCD of 920, 756, 851, 947 using LCM Formula

Given numbers are 920, 756, 851, 947

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

Apply this formula for all numbers.

Step1:

LCM(920, 756) = 173880

GCD(920, 756) = ( 920 x 756 ) / 173880

= 920 / 756

= 920


Step2:

LCM(4, 851) = 3404

GCD(4, 851) = ( 4 x 851 ) / 3404

= 4 / 851

= 4


Step3:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1


So, Greatest Common Divisor of 920, 756, 851, 947 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 756, 851, 947

Given numbers are 920, 756, 851, 947
The greatest common divisor of numbers 920, 756, 851, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 756, 851, 947 is 1.

FAQs on GCD of 920, 756, 851, 947 Calculator

1. What is the GCD of 920, 756, 851, 947?

GCD of given numbers 920, 756, 851, 947 is 1


2. How to calculate the greatest common divisor of 920, 756, 851, 947?

We can find the highest common divisor of 920, 756, 851, 947 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 920, 756, 851, 947 i.e 1.


3. How can I use the GCD of 920, 756, 851, 947Calculator?

Out the numbers 920, 756, 851, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.