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GCD of 872, 121, 465, 135 Calculator

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


Online GCD Calculator is useful to find the GCD of 872, 121, 465, 135 quickly. Get the easiest ways to solve the greatest common divisor of 872, 121, 465, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 121, 465, 135 with Factoring?

Given Input numbers are 872, 121, 465, 135

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135


GCD of numbers is the greatest common divisor

So, the GCD (872, 121, 465, 135) = 1.

Find GCD of 872, 121, 465, 135 using Prime Factorization

Given numbers are 872, 121, 465, 135

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 121 are 11 x 11

Prime factors of 465 are 3 x 5 x 31

Prime factors of 135 are 3 x 3 x 3 x 5

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

Steps to Calculate GCD of 872, 121, 465, 135 using LCM Formula

Given numbers are 872, 121, 465, 135

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

Apply this formula for all numbers.

Step1:

LCM(872, 121) = 105512

GCD(872, 121) = ( 872 x 121 ) / 105512

= 872 / 121

= 872


Step2:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1


Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


So, Greatest Common Divisor of 872, 121, 465, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 121, 465, 135

Given numbers are 872, 121, 465, 135
The greatest common divisor of numbers 872, 121, 465, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 121, 465, 135 is 1.

FAQs on GCD of 872, 121, 465, 135 Calculator

1. What is the GCD of 872, 121, 465, 135?

GCD of given numbers 872, 121, 465, 135 is 1


2. How to calculate the greatest common divisor of 872, 121, 465, 135?

We can find the highest common divisor of 872, 121, 465, 135 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 872, 121, 465, 135 i.e 1.


3. How can I use the GCD of 872, 121, 465, 135Calculator?

Out the numbers 872, 121, 465, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.