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GCD of 400, 316, 975, 848 Calculator

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


Online GCD Calculator is useful to find the GCD of 400, 316, 975, 848 quickly. Get the easiest ways to solve the greatest common divisor of 400, 316, 975, 848 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 400, 316, 975, 848 with Factoring?

Given Input numbers are 400, 316, 975, 848

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

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848


GCD of numbers is the greatest common divisor

So, the GCD (400, 316, 975, 848) = 1.

Find GCD of 400, 316, 975, 848 using Prime Factorization

Given numbers are 400, 316, 975, 848

The list of prime factors of all numbers are

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

Prime factors of 316 are 2 x 2 x 79

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

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

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

Steps to Calculate GCD of 400, 316, 975, 848 using LCM Formula

Given numbers are 400, 316, 975, 848

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

Apply this formula for all numbers.

Step1:

LCM(400, 316) = 31600

GCD(400, 316) = ( 400 x 316 ) / 31600

= 400 / 316

= 400


Step2:

LCM(4, 975) = 3900

GCD(4, 975) = ( 4 x 975 ) / 3900

= 4 / 975

= 4


Step3:

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

= 1 / 848

= 1


So, Greatest Common Divisor of 400, 316, 975, 848 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 400, 316, 975, 848

Given numbers are 400, 316, 975, 848
The greatest common divisor of numbers 400, 316, 975, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 316, 975, 848 is 1.

FAQs on GCD of 400, 316, 975, 848 Calculator

1. What is the GCD of 400, 316, 975, 848?

GCD of given numbers 400, 316, 975, 848 is 1


2. How to calculate the greatest common divisor of 400, 316, 975, 848?

We can find the highest common divisor of 400, 316, 975, 848 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 400, 316, 975, 848 i.e 1.


3. How can I use the GCD of 400, 316, 975, 848Calculator?

Out the numbers 400, 316, 975, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.