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GCD of 135, 686, 362, 454 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, 686, 362, 454 quickly. Get the easiest ways to solve the greatest common divisor of 135, 686, 362, 454 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 135, 686, 362, 454 with Factoring?

Given Input numbers are 135, 686, 362, 454

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454


GCD of numbers is the greatest common divisor

So, the GCD (135, 686, 362, 454) = 1.

Find GCD of 135, 686, 362, 454 using Prime Factorization

Given numbers are 135, 686, 362, 454

The list of prime factors of all numbers are

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

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 362 are 2 x 181

Prime factors of 454 are 2 x 227

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

Steps to Calculate GCD of 135, 686, 362, 454 using LCM Formula

Given numbers are 135, 686, 362, 454

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

Apply this formula for all numbers.

Step1:

LCM(135, 686) = 92610

GCD(135, 686) = ( 135 x 686 ) / 92610

= 135 / 686

= 135


Step2:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1


Step3:

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

= 1 / 454

= 1


So, Greatest Common Divisor of 135, 686, 362, 454 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 135, 686, 362, 454

Given numbers are 135, 686, 362, 454
The greatest common divisor of numbers 135, 686, 362, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 686, 362, 454 is 1.

FAQs on GCD of 135, 686, 362, 454 Calculator

1. What is the GCD of 135, 686, 362, 454?

GCD of given numbers 135, 686, 362, 454 is 1


2. How to calculate the greatest common divisor of 135, 686, 362, 454?

We can find the highest common divisor of 135, 686, 362, 454 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, 686, 362, 454 i.e 1.


3. How can I use the GCD of 135, 686, 362, 454Calculator?

Out the numbers 135, 686, 362, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.