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GCD of 361, 214, 938, 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 361, 214, 938, 135 quickly. Get the easiest ways to solve the greatest common divisor of 361, 214, 938, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 361, 214, 938, 135 with Factoring?

Given Input numbers are 361, 214, 938, 135

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

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 (361, 214, 938, 135) = 1.

Find GCD of 361, 214, 938, 135 using Prime Factorization

Given numbers are 361, 214, 938, 135

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 214 are 2 x 107

Prime factors of 938 are 2 x 7 x 67

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 361, 214, 938, 135 using LCM Formula

Given numbers are 361, 214, 938, 135

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

Apply this formula for all numbers.

Step1:

LCM(361, 214) = 77254

GCD(361, 214) = ( 361 x 214 ) / 77254

= 361 / 214

= 361


Step2:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1


Step3:

LCM(1, 135) = 135

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

= 1 / 135

= 1


So, Greatest Common Divisor of 361, 214, 938, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 361, 214, 938, 135

Given numbers are 361, 214, 938, 135
The greatest common divisor of numbers 361, 214, 938, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 214, 938, 135 is 1.

FAQs on GCD of 361, 214, 938, 135 Calculator

1. What is the GCD of 361, 214, 938, 135?

GCD of given numbers 361, 214, 938, 135 is 1


2. How to calculate the greatest common divisor of 361, 214, 938, 135?

We can find the highest common divisor of 361, 214, 938, 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 361, 214, 938, 135 i.e 1.


3. How can I use the GCD of 361, 214, 938, 135Calculator?

Out the numbers 361, 214, 938, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.