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GCD of 357, 172, 825, 150 Calculator

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


Online GCD Calculator is useful to find the GCD of 357, 172, 825, 150 quickly. Get the easiest ways to solve the greatest common divisor of 357, 172, 825, 150 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 357, 172, 825, 150 with Factoring?

Given Input numbers are 357, 172, 825, 150

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150


GCD of numbers is the greatest common divisor

So, the GCD (357, 172, 825, 150) = 1.

Find GCD of 357, 172, 825, 150 using Prime Factorization

Given numbers are 357, 172, 825, 150

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 172 are 2 x 2 x 43

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 150 are 2 x 3 x 5 x 5

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

Steps to Calculate GCD of 357, 172, 825, 150 using LCM Formula

Given numbers are 357, 172, 825, 150

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

Apply this formula for all numbers.

Step1:

LCM(357, 172) = 61404

GCD(357, 172) = ( 357 x 172 ) / 61404

= 357 / 172

= 357


Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1


Step3:

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

= 1 / 150

= 1


So, Greatest Common Divisor of 357, 172, 825, 150 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 357, 172, 825, 150

Given numbers are 357, 172, 825, 150
The greatest common divisor of numbers 357, 172, 825, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 172, 825, 150 is 1.

FAQs on GCD of 357, 172, 825, 150 Calculator

1. What is the GCD of 357, 172, 825, 150?

GCD of given numbers 357, 172, 825, 150 is 1


2. How to calculate the greatest common divisor of 357, 172, 825, 150?

We can find the highest common divisor of 357, 172, 825, 150 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 357, 172, 825, 150 i.e 1.


3. How can I use the GCD of 357, 172, 825, 150Calculator?

Out the numbers 357, 172, 825, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.