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GCD of 746, 276, 138, 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 746, 276, 138, 476 quickly. Get the easiest ways to solve the greatest common divisor of 746, 276, 138, 476 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 746, 276, 138, 476 with Factoring?

Given Input numbers are 746, 276, 138, 476

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 (746, 276, 138, 476) = 2.

Find GCD of 746, 276, 138, 476 using Prime Factorization

Given numbers are 746, 276, 138, 476

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 138 are 2 x 3 x 23

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

The highest common occurrence is 21

Therefore, GCD of 746, 276, 138, 476 is 2.

Steps to Calculate GCD of 746, 276, 138, 476 using LCM Formula

Given numbers are 746, 276, 138, 476

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

Apply this formula for all numbers.

Step1:

LCM(746, 276) = 102948

GCD(746, 276) = ( 746 x 276 ) / 102948

= 746 / 276

= 746


Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2


Step3:

LCM(2, 476) = 476

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

= 2 / 476

= 2


So, Greatest Common Divisor of 746, 276, 138, 476 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 746, 276, 138, 476

Given numbers are 746, 276, 138, 476
The greatest common divisor of numbers 746, 276, 138, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 276, 138, 476 is 2.

FAQs on GCD of 746, 276, 138, 476 Calculator

1. What is the GCD of 746, 276, 138, 476?

GCD of given numbers 746, 276, 138, 476 is 2


2. How to calculate the greatest common divisor of 746, 276, 138, 476?

We can find the highest common divisor of 746, 276, 138, 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 746, 276, 138, 476 i.e 2.


3. How can I use the GCD of 746, 276, 138, 476Calculator?

Out the numbers 746, 276, 138, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.