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GCD of 400, 352, 563, 988 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, 352, 563, 988 quickly. Get the easiest ways to solve the greatest common divisor of 400, 352, 563, 988 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 400, 352, 563, 988 with Factoring?

Given Input numbers are 400, 352, 563, 988

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 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988


GCD of numbers is the greatest common divisor

So, the GCD (400, 352, 563, 988) = 1.

Find GCD of 400, 352, 563, 988 using Prime Factorization

Given numbers are 400, 352, 563, 988

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 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 563 are 563

Prime factors of 988 are 2 x 2 x 13 x 19

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

Steps to Calculate GCD of 400, 352, 563, 988 using LCM Formula

Given numbers are 400, 352, 563, 988

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

Apply this formula for all numbers.

Step1:

LCM(400, 352) = 8800

GCD(400, 352) = ( 400 x 352 ) / 8800

= 400 / 352

= 400


Step2:

LCM(16, 563) = 9008

GCD(16, 563) = ( 16 x 563 ) / 9008

= 16 / 563

= 16


Step3:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1


So, Greatest Common Divisor of 400, 352, 563, 988 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 400, 352, 563, 988

Given numbers are 400, 352, 563, 988
The greatest common divisor of numbers 400, 352, 563, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 352, 563, 988 is 1.

FAQs on GCD of 400, 352, 563, 988 Calculator

1. What is the GCD of 400, 352, 563, 988?

GCD of given numbers 400, 352, 563, 988 is 1


2. How to calculate the greatest common divisor of 400, 352, 563, 988?

We can find the highest common divisor of 400, 352, 563, 988 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, 352, 563, 988 i.e 1.


3. How can I use the GCD of 400, 352, 563, 988Calculator?

Out the numbers 400, 352, 563, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.