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GCD of 960, 875, 188, 575 Calculator

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


Online GCD Calculator is useful to find the GCD of 960, 875, 188, 575 quickly. Get the easiest ways to solve the greatest common divisor of 960, 875, 188, 575 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 875, 188, 575 with Factoring?

Given Input numbers are 960, 875, 188, 575

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575


GCD of numbers is the greatest common divisor

So, the GCD (960, 875, 188, 575) = 1.

Find GCD of 960, 875, 188, 575 using Prime Factorization

Given numbers are 960, 875, 188, 575

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 188 are 2 x 2 x 47

Prime factors of 575 are 5 x 5 x 23

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

Steps to Calculate GCD of 960, 875, 188, 575 using LCM Formula

Given numbers are 960, 875, 188, 575

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

Apply this formula for all numbers.

Step1:

LCM(960, 875) = 168000

GCD(960, 875) = ( 960 x 875 ) / 168000

= 960 / 875

= 960


Step2:

LCM(5, 188) = 940

GCD(5, 188) = ( 5 x 188 ) / 940

= 5 / 188

= 5


Step3:

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

= 1 / 575

= 1


So, Greatest Common Divisor of 960, 875, 188, 575 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 875, 188, 575

Given numbers are 960, 875, 188, 575
The greatest common divisor of numbers 960, 875, 188, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 875, 188, 575 is 1.

FAQs on GCD of 960, 875, 188, 575 Calculator

1. What is the GCD of 960, 875, 188, 575?

GCD of given numbers 960, 875, 188, 575 is 1


2. How to calculate the greatest common divisor of 960, 875, 188, 575?

We can find the highest common divisor of 960, 875, 188, 575 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 960, 875, 188, 575 i.e 1.


3. How can I use the GCD of 960, 875, 188, 575Calculator?

Out the numbers 960, 875, 188, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.