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GCD of 976, 478, 399, 700 Calculator

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


Online GCD Calculator is useful to find the GCD of 976, 478, 399, 700 quickly. Get the easiest ways to solve the greatest common divisor of 976, 478, 399, 700 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 976, 478, 399, 700 with Factoring?

Given Input numbers are 976, 478, 399, 700

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

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700


GCD of numbers is the greatest common divisor

So, the GCD (976, 478, 399, 700) = 1.

Find GCD of 976, 478, 399, 700 using Prime Factorization

Given numbers are 976, 478, 399, 700

The list of prime factors of all numbers are

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

Prime factors of 478 are 2 x 239

Prime factors of 399 are 3 x 7 x 19

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Steps to Calculate GCD of 976, 478, 399, 700 using LCM Formula

Given numbers are 976, 478, 399, 700

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

Apply this formula for all numbers.

Step1:

LCM(976, 478) = 233264

GCD(976, 478) = ( 976 x 478 ) / 233264

= 976 / 478

= 976


Step2:

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

= 2 / 399

= 2


Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1


So, Greatest Common Divisor of 976, 478, 399, 700 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 976, 478, 399, 700

Given numbers are 976, 478, 399, 700
The greatest common divisor of numbers 976, 478, 399, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 478, 399, 700 is 1.

FAQs on GCD of 976, 478, 399, 700 Calculator

1. What is the GCD of 976, 478, 399, 700?

GCD of given numbers 976, 478, 399, 700 is 1


2. How to calculate the greatest common divisor of 976, 478, 399, 700?

We can find the highest common divisor of 976, 478, 399, 700 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 976, 478, 399, 700 i.e 1.


3. How can I use the GCD of 976, 478, 399, 700Calculator?

Out the numbers 976, 478, 399, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.