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GCD of 748, 997, 507, 157 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, 997, 507, 157 quickly. Get the easiest ways to solve the greatest common divisor of 748, 997, 507, 157 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 997, 507, 157 with Factoring?

Given Input numbers are 748, 997, 507, 157

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 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157


GCD of numbers is the greatest common divisor

So, the GCD (748, 997, 507, 157) = 1.

Find GCD of 748, 997, 507, 157 using Prime Factorization

Given numbers are 748, 997, 507, 157

The list of prime factors of all numbers are

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

Prime factors of 997 are 997

Prime factors of 507 are 3 x 13 x 13

Prime factors of 157 are 157

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

Steps to Calculate GCD of 748, 997, 507, 157 using LCM Formula

Given numbers are 748, 997, 507, 157

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

Apply this formula for all numbers.

Step1:

LCM(748, 997) = 745756

GCD(748, 997) = ( 748 x 997 ) / 745756

= 748 / 997

= 748


Step2:

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

= 1 / 507

= 1


Step3:

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

= 1 / 157

= 1


So, Greatest Common Divisor of 748, 997, 507, 157 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 997, 507, 157

Given numbers are 748, 997, 507, 157
The greatest common divisor of numbers 748, 997, 507, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 997, 507, 157 is 1.

FAQs on GCD of 748, 997, 507, 157 Calculator

1. What is the GCD of 748, 997, 507, 157?

GCD of given numbers 748, 997, 507, 157 is 1


2. How to calculate the greatest common divisor of 748, 997, 507, 157?

We can find the highest common divisor of 748, 997, 507, 157 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, 997, 507, 157 i.e 1.


3. How can I use the GCD of 748, 997, 507, 157Calculator?

Out the numbers 748, 997, 507, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.