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GCD of 975, 400, 751, 207 Calculator

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


Online GCD Calculator is useful to find the GCD of 975, 400, 751, 207 quickly. Get the easiest ways to solve the greatest common divisor of 975, 400, 751, 207 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 400, 751, 207 with Factoring?

Given Input numbers are 975, 400, 751, 207

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 751 :

The positive integer divisors of 751 that completely divides 751 are.

1, 751

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207


GCD of numbers is the greatest common divisor

So, the GCD (975, 400, 751, 207) = 1.

Find GCD of 975, 400, 751, 207 using Prime Factorization

Given numbers are 975, 400, 751, 207

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 751 are 751

Prime factors of 207 are 3 x 3 x 23

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

Steps to Calculate GCD of 975, 400, 751, 207 using LCM Formula

Given numbers are 975, 400, 751, 207

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

Apply this formula for all numbers.

Step1:

LCM(975, 400) = 15600

GCD(975, 400) = ( 975 x 400 ) / 15600

= 975 / 400

= 975


Step2:

LCM(25, 751) = 18775

GCD(25, 751) = ( 25 x 751 ) / 18775

= 25 / 751

= 25


Step3:

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

= 1 / 207

= 1


So, Greatest Common Divisor of 975, 400, 751, 207 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 400, 751, 207

Given numbers are 975, 400, 751, 207
The greatest common divisor of numbers 975, 400, 751, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 400, 751, 207 is 1.

FAQs on GCD of 975, 400, 751, 207 Calculator

1. What is the GCD of 975, 400, 751, 207?

GCD of given numbers 975, 400, 751, 207 is 1


2. How to calculate the greatest common divisor of 975, 400, 751, 207?

We can find the highest common divisor of 975, 400, 751, 207 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 975, 400, 751, 207 i.e 1.


3. How can I use the GCD of 975, 400, 751, 207Calculator?

Out the numbers 975, 400, 751, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.