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GCD of 310, 196, 294, 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 310, 196, 294, 135 quickly. Get the easiest ways to solve the greatest common divisor of 310, 196, 294, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 310, 196, 294, 135 with Factoring?

Given Input numbers are 310, 196, 294, 135

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 (310, 196, 294, 135) = 1.

Find GCD of 310, 196, 294, 135 using Prime Factorization

Given numbers are 310, 196, 294, 135

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 294 are 2 x 3 x 7 x 7

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 310, 196, 294, 135 using LCM Formula

Given numbers are 310, 196, 294, 135

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

Apply this formula for all numbers.

Step1:

LCM(310, 196) = 30380

GCD(310, 196) = ( 310 x 196 ) / 30380

= 310 / 196

= 310


Step2:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2


Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2


So, Greatest Common Divisor of 310, 196, 294, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 310, 196, 294, 135

Given numbers are 310, 196, 294, 135
The greatest common divisor of numbers 310, 196, 294, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 196, 294, 135 is 1.

FAQs on GCD of 310, 196, 294, 135 Calculator

1. What is the GCD of 310, 196, 294, 135?

GCD of given numbers 310, 196, 294, 135 is 1


2. How to calculate the greatest common divisor of 310, 196, 294, 135?

We can find the highest common divisor of 310, 196, 294, 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 310, 196, 294, 135 i.e 1.


3. How can I use the GCD of 310, 196, 294, 135Calculator?

Out the numbers 310, 196, 294, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.