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GCD of 870, 321, 135, 925 Calculator

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


Online GCD Calculator is useful to find the GCD of 870, 321, 135, 925 quickly. Get the easiest ways to solve the greatest common divisor of 870, 321, 135, 925 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 870, 321, 135, 925 with Factoring?

Given Input numbers are 870, 321, 135, 925

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 135 :

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

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

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925


GCD of numbers is the greatest common divisor

So, the GCD (870, 321, 135, 925) = 1.

Find GCD of 870, 321, 135, 925 using Prime Factorization

Given numbers are 870, 321, 135, 925

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 321 are 3 x 107

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

Prime factors of 925 are 5 x 5 x 37

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

Steps to Calculate GCD of 870, 321, 135, 925 using LCM Formula

Given numbers are 870, 321, 135, 925

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

Apply this formula for all numbers.

Step1:

LCM(870, 321) = 93090

GCD(870, 321) = ( 870 x 321 ) / 93090

= 870 / 321

= 870


Step2:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3


Step3:

LCM(3, 925) = 2775

GCD(3, 925) = ( 3 x 925 ) / 2775

= 3 / 925

= 3


So, Greatest Common Divisor of 870, 321, 135, 925 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 870, 321, 135, 925

Given numbers are 870, 321, 135, 925
The greatest common divisor of numbers 870, 321, 135, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 321, 135, 925 is 1.

FAQs on GCD of 870, 321, 135, 925 Calculator

1. What is the GCD of 870, 321, 135, 925?

GCD of given numbers 870, 321, 135, 925 is 1


2. How to calculate the greatest common divisor of 870, 321, 135, 925?

We can find the highest common divisor of 870, 321, 135, 925 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 870, 321, 135, 925 i.e 1.


3. How can I use the GCD of 870, 321, 135, 925Calculator?

Out the numbers 870, 321, 135, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.