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GCD of 974, 716, 909, 476 Calculator

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


Online GCD Calculator is useful to find the GCD of 974, 716, 909, 476 quickly. Get the easiest ways to solve the greatest common divisor of 974, 716, 909, 476 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 974, 716, 909, 476 with Factoring?

Given Input numbers are 974, 716, 909, 476

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476


GCD of numbers is the greatest common divisor

So, the GCD (974, 716, 909, 476) = 1.

Find GCD of 974, 716, 909, 476 using Prime Factorization

Given numbers are 974, 716, 909, 476

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 716 are 2 x 2 x 179

Prime factors of 909 are 3 x 3 x 101

Prime factors of 476 are 2 x 2 x 7 x 17

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

Steps to Calculate GCD of 974, 716, 909, 476 using LCM Formula

Given numbers are 974, 716, 909, 476

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

Apply this formula for all numbers.

Step1:

LCM(974, 716) = 348692

GCD(974, 716) = ( 974 x 716 ) / 348692

= 974 / 716

= 974


Step2:

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

= 2 / 909

= 2


Step3:

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

= 1 / 476

= 1


So, Greatest Common Divisor of 974, 716, 909, 476 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 974, 716, 909, 476

Given numbers are 974, 716, 909, 476
The greatest common divisor of numbers 974, 716, 909, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 716, 909, 476 is 1.

FAQs on GCD of 974, 716, 909, 476 Calculator

1. What is the GCD of 974, 716, 909, 476?

GCD of given numbers 974, 716, 909, 476 is 1


2. How to calculate the greatest common divisor of 974, 716, 909, 476?

We can find the highest common divisor of 974, 716, 909, 476 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 974, 716, 909, 476 i.e 1.


3. How can I use the GCD of 974, 716, 909, 476Calculator?

Out the numbers 974, 716, 909, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.