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GCD of 135, 473, 351, 678 Calculator

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


Online GCD Calculator is useful to find the GCD of 135, 473, 351, 678 quickly. Get the easiest ways to solve the greatest common divisor of 135, 473, 351, 678 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 135, 473, 351, 678 with Factoring?

Given Input numbers are 135, 473, 351, 678

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

Divisors of 135 :

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

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

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678


GCD of numbers is the greatest common divisor

So, the GCD (135, 473, 351, 678) = 1.

Find GCD of 135, 473, 351, 678 using Prime Factorization

Given numbers are 135, 473, 351, 678

The list of prime factors of all numbers are

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

Prime factors of 473 are 11 x 43

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 678 are 2 x 3 x 113

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

Steps to Calculate GCD of 135, 473, 351, 678 using LCM Formula

Given numbers are 135, 473, 351, 678

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

Apply this formula for all numbers.

Step1:

LCM(135, 473) = 63855

GCD(135, 473) = ( 135 x 473 ) / 63855

= 135 / 473

= 135


Step2:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1


Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1


So, Greatest Common Divisor of 135, 473, 351, 678 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 135, 473, 351, 678

Given numbers are 135, 473, 351, 678
The greatest common divisor of numbers 135, 473, 351, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 473, 351, 678 is 1.

FAQs on GCD of 135, 473, 351, 678 Calculator

1. What is the GCD of 135, 473, 351, 678?

GCD of given numbers 135, 473, 351, 678 is 1


2. How to calculate the greatest common divisor of 135, 473, 351, 678?

We can find the highest common divisor of 135, 473, 351, 678 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 135, 473, 351, 678 i.e 1.


3. How can I use the GCD of 135, 473, 351, 678Calculator?

Out the numbers 135, 473, 351, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.