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GCD of 748, 311, 926, 660 Calculator

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


Online GCD Calculator is useful to find the GCD of 748, 311, 926, 660 quickly. Get the easiest ways to solve the greatest common divisor of 748, 311, 926, 660 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 311, 926, 660 with Factoring?

Given Input numbers are 748, 311, 926, 660

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (748, 311, 926, 660) = 1.

Find GCD of 748, 311, 926, 660 using Prime Factorization

Given numbers are 748, 311, 926, 660

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 311 are 311

Prime factors of 926 are 2 x 463

Prime factors of 660 are 2 x 2 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 748, 311, 926, 660 using LCM Formula

Given numbers are 748, 311, 926, 660

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

Apply this formula for all numbers.

Step1:

LCM(748, 311) = 232628

GCD(748, 311) = ( 748 x 311 ) / 232628

= 748 / 311

= 748


Step2:

LCM(1, 926) = 926

GCD(1, 926) = ( 1 x 926 ) / 926

= 1 / 926

= 1


Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


So, Greatest Common Divisor of 748, 311, 926, 660 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 311, 926, 660

Given numbers are 748, 311, 926, 660
The greatest common divisor of numbers 748, 311, 926, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 311, 926, 660 is 1.

FAQs on GCD of 748, 311, 926, 660 Calculator

1. What is the GCD of 748, 311, 926, 660?

GCD of given numbers 748, 311, 926, 660 is 1


2. How to calculate the greatest common divisor of 748, 311, 926, 660?

We can find the highest common divisor of 748, 311, 926, 660 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 748, 311, 926, 660 i.e 1.


3. How can I use the GCD of 748, 311, 926, 660Calculator?

Out the numbers 748, 311, 926, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.