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GCD of 746, 649, 20, 910 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, 649, 20, 910 quickly. Get the easiest ways to solve the greatest common divisor of 746, 649, 20, 910 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 746, 649, 20, 910 with Factoring?

Given Input numbers are 746, 649, 20, 910

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 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910


GCD of numbers is the greatest common divisor

So, the GCD (746, 649, 20, 910) = 1.

Find GCD of 746, 649, 20, 910 using Prime Factorization

Given numbers are 746, 649, 20, 910

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 649 are 11 x 59

Prime factors of 20 are 2 x 2 x 5

Prime factors of 910 are 2 x 5 x 7 x 13

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

Steps to Calculate GCD of 746, 649, 20, 910 using LCM Formula

Given numbers are 746, 649, 20, 910

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

Apply this formula for all numbers.

Step1:

LCM(746, 649) = 484154

GCD(746, 649) = ( 746 x 649 ) / 484154

= 746 / 649

= 746


Step2:

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

= 1 / 20

= 1


Step3:

LCM(1, 910) = 910

GCD(1, 910) = ( 1 x 910 ) / 910

= 1 / 910

= 1


So, Greatest Common Divisor of 746, 649, 20, 910 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 746, 649, 20, 910

Given numbers are 746, 649, 20, 910
The greatest common divisor of numbers 746, 649, 20, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 649, 20, 910 is 1.

FAQs on GCD of 746, 649, 20, 910 Calculator

1. What is the GCD of 746, 649, 20, 910?

GCD of given numbers 746, 649, 20, 910 is 1


2. How to calculate the greatest common divisor of 746, 649, 20, 910?

We can find the highest common divisor of 746, 649, 20, 910 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, 649, 20, 910 i.e 1.


3. How can I use the GCD of 746, 649, 20, 910Calculator?

Out the numbers 746, 649, 20, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.