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GCD of 975, 159, 627, 948 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, 159, 627, 948 quickly. Get the easiest ways to solve the greatest common divisor of 975, 159, 627, 948 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 159, 627, 948 with Factoring?

Given Input numbers are 975, 159, 627, 948

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 159 :

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

1, 3, 53, 159

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948


GCD of numbers is the greatest common divisor

So, the GCD (975, 159, 627, 948) = 3.

Find GCD of 975, 159, 627, 948 using Prime Factorization

Given numbers are 975, 159, 627, 948

The list of prime factors of all numbers are

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

Prime factors of 159 are 3 x 53

Prime factors of 627 are 3 x 11 x 19

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 31

Therefore, GCD of 975, 159, 627, 948 is 3.

Steps to Calculate GCD of 975, 159, 627, 948 using LCM Formula

Given numbers are 975, 159, 627, 948

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

Apply this formula for all numbers.

Step1:

LCM(975, 159) = 51675

GCD(975, 159) = ( 975 x 159 ) / 51675

= 975 / 159

= 975


Step2:

LCM(3, 627) = 627

GCD(3, 627) = ( 3 x 627 ) / 627

= 3 / 627

= 3


Step3:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3


So, Greatest Common Divisor of 975, 159, 627, 948 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 159, 627, 948

Given numbers are 975, 159, 627, 948
The greatest common divisor of numbers 975, 159, 627, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 159, 627, 948 is 3.

FAQs on GCD of 975, 159, 627, 948 Calculator

1. What is the GCD of 975, 159, 627, 948?

GCD of given numbers 975, 159, 627, 948 is 3


2. How to calculate the greatest common divisor of 975, 159, 627, 948?

We can find the highest common divisor of 975, 159, 627, 948 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, 159, 627, 948 i.e 3.


3. How can I use the GCD of 975, 159, 627, 948Calculator?

Out the numbers 975, 159, 627, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.