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GCD of 135, 421, 938, 463 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, 421, 938, 463 quickly. Get the easiest ways to solve the greatest common divisor of 135, 421, 938, 463 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 135, 421, 938, 463 with Factoring?

Given Input numbers are 135, 421, 938, 463

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 938 :

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

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

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463


GCD of numbers is the greatest common divisor

So, the GCD (135, 421, 938, 463) = 1.

Find GCD of 135, 421, 938, 463 using Prime Factorization

Given numbers are 135, 421, 938, 463

The list of prime factors of all numbers are

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

Prime factors of 421 are 421

Prime factors of 938 are 2 x 7 x 67

Prime factors of 463 are 463

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

Steps to Calculate GCD of 135, 421, 938, 463 using LCM Formula

Given numbers are 135, 421, 938, 463

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

Apply this formula for all numbers.

Step1:

LCM(135, 421) = 56835

GCD(135, 421) = ( 135 x 421 ) / 56835

= 135 / 421

= 135


Step2:

LCM(1, 938) = 938

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

= 1 / 938

= 1


Step3:

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

= 1 / 463

= 1


So, Greatest Common Divisor of 135, 421, 938, 463 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 135, 421, 938, 463

Given numbers are 135, 421, 938, 463
The greatest common divisor of numbers 135, 421, 938, 463 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 421, 938, 463 is 1.

FAQs on GCD of 135, 421, 938, 463 Calculator

1. What is the GCD of 135, 421, 938, 463?

GCD of given numbers 135, 421, 938, 463 is 1


2. How to calculate the greatest common divisor of 135, 421, 938, 463?

We can find the highest common divisor of 135, 421, 938, 463 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, 421, 938, 463 i.e 1.


3. How can I use the GCD of 135, 421, 938, 463Calculator?

Out the numbers 135, 421, 938, 463 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.