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GCD of 746, 137, 47, 990 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, 137, 47, 990 quickly. Get the easiest ways to solve the greatest common divisor of 746, 137, 47, 990 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 746, 137, 47, 990 with Factoring?

Given Input numbers are 746, 137, 47, 990

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 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 47 :

The positive integer divisors of 47 that completely divides 47 are.

1, 47

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990


GCD of numbers is the greatest common divisor

So, the GCD (746, 137, 47, 990) = 1.

Find GCD of 746, 137, 47, 990 using Prime Factorization

Given numbers are 746, 137, 47, 990

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 137 are 137

Prime factors of 47 are 47

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Steps to Calculate GCD of 746, 137, 47, 990 using LCM Formula

Given numbers are 746, 137, 47, 990

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

Apply this formula for all numbers.

Step1:

LCM(746, 137) = 102202

GCD(746, 137) = ( 746 x 137 ) / 102202

= 746 / 137

= 746


Step2:

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

= 1 / 47

= 1


Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1


So, Greatest Common Divisor of 746, 137, 47, 990 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 746, 137, 47, 990

Given numbers are 746, 137, 47, 990
The greatest common divisor of numbers 746, 137, 47, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 137, 47, 990 is 1.

FAQs on GCD of 746, 137, 47, 990 Calculator

1. What is the GCD of 746, 137, 47, 990?

GCD of given numbers 746, 137, 47, 990 is 1


2. How to calculate the greatest common divisor of 746, 137, 47, 990?

We can find the highest common divisor of 746, 137, 47, 990 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, 137, 47, 990 i.e 1.


3. How can I use the GCD of 746, 137, 47, 990Calculator?

Out the numbers 746, 137, 47, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.