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GCD of 159, 507, 963, 400 Calculator

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


Online GCD Calculator is useful to find the GCD of 159, 507, 963, 400 quickly. Get the easiest ways to solve the greatest common divisor of 159, 507, 963, 400 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 159, 507, 963, 400 with Factoring?

Given Input numbers are 159, 507, 963, 400

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

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


GCD of numbers is the greatest common divisor

So, the GCD (159, 507, 963, 400) = 1.

Find GCD of 159, 507, 963, 400 using Prime Factorization

Given numbers are 159, 507, 963, 400

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 507 are 3 x 13 x 13

Prime factors of 963 are 3 x 3 x 107

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

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

Steps to Calculate GCD of 159, 507, 963, 400 using LCM Formula

Given numbers are 159, 507, 963, 400

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

Apply this formula for all numbers.

Step1:

LCM(159, 507) = 26871

GCD(159, 507) = ( 159 x 507 ) / 26871

= 159 / 507

= 159


Step2:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3


Step3:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3


So, Greatest Common Divisor of 159, 507, 963, 400 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 159, 507, 963, 400

Given numbers are 159, 507, 963, 400
The greatest common divisor of numbers 159, 507, 963, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 507, 963, 400 is 1.

FAQs on GCD of 159, 507, 963, 400 Calculator

1. What is the GCD of 159, 507, 963, 400?

GCD of given numbers 159, 507, 963, 400 is 1


2. How to calculate the greatest common divisor of 159, 507, 963, 400?

We can find the highest common divisor of 159, 507, 963, 400 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 159, 507, 963, 400 i.e 1.


3. How can I use the GCD of 159, 507, 963, 400Calculator?

Out the numbers 159, 507, 963, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.