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GCD of 667, 420, 432, 875 Calculator

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


Online GCD Calculator is useful to find the GCD of 667, 420, 432, 875 quickly. Get the easiest ways to solve the greatest common divisor of 667, 420, 432, 875 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 667, 420, 432, 875 with Factoring?

Given Input numbers are 667, 420, 432, 875

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

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 875 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (667, 420, 432, 875) = 1.

Find GCD of 667, 420, 432, 875 using Prime Factorization

Given numbers are 667, 420, 432, 875

The list of prime factors of all numbers are

Prime factors of 667 are 23 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

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

Steps to Calculate GCD of 667, 420, 432, 875 using LCM Formula

Given numbers are 667, 420, 432, 875

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

Apply this formula for all numbers.

Step1:

LCM(667, 420) = 280140

GCD(667, 420) = ( 667 x 420 ) / 280140

= 667 / 420

= 667


Step2:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1


Step3:

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

= 1 / 875

= 1


So, Greatest Common Divisor of 667, 420, 432, 875 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 667, 420, 432, 875

Given numbers are 667, 420, 432, 875
The greatest common divisor of numbers 667, 420, 432, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 667, 420, 432, 875 is 1.

FAQs on GCD of 667, 420, 432, 875 Calculator

1. What is the GCD of 667, 420, 432, 875?

GCD of given numbers 667, 420, 432, 875 is 1


2. How to calculate the greatest common divisor of 667, 420, 432, 875?

We can find the highest common divisor of 667, 420, 432, 875 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 667, 420, 432, 875 i.e 1.


3. How can I use the GCD of 667, 420, 432, 875Calculator?

Out the numbers 667, 420, 432, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.