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GCD of 134, 406, 738, 476 Calculator

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


Online GCD Calculator is useful to find the GCD of 134, 406, 738, 476 quickly. Get the easiest ways to solve the greatest common divisor of 134, 406, 738, 476 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 134, 406, 738, 476 with Factoring?

Given Input numbers are 134, 406, 738, 476

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476


GCD of numbers is the greatest common divisor

So, the GCD (134, 406, 738, 476) = 2.

Find GCD of 134, 406, 738, 476 using Prime Factorization

Given numbers are 134, 406, 738, 476

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 406 are 2 x 7 x 29

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 21

Therefore, GCD of 134, 406, 738, 476 is 2.

Steps to Calculate GCD of 134, 406, 738, 476 using LCM Formula

Given numbers are 134, 406, 738, 476

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

Apply this formula for all numbers.

Step1:

LCM(134, 406) = 27202

GCD(134, 406) = ( 134 x 406 ) / 27202

= 134 / 406

= 134


Step2:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2


Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2


So, Greatest Common Divisor of 134, 406, 738, 476 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 134, 406, 738, 476

Given numbers are 134, 406, 738, 476
The greatest common divisor of numbers 134, 406, 738, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 406, 738, 476 is 2.

FAQs on GCD of 134, 406, 738, 476 Calculator

1. What is the GCD of 134, 406, 738, 476?

GCD of given numbers 134, 406, 738, 476 is 2


2. How to calculate the greatest common divisor of 134, 406, 738, 476?

We can find the highest common divisor of 134, 406, 738, 476 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 134, 406, 738, 476 i.e 2.


3. How can I use the GCD of 134, 406, 738, 476Calculator?

Out the numbers 134, 406, 738, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.