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GCD of 748, 398, 676, 481 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, 398, 676, 481 quickly. Get the easiest ways to solve the greatest common divisor of 748, 398, 676, 481 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 398, 676, 481 with Factoring?

Given Input numbers are 748, 398, 676, 481

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 481 :

The positive integer divisors of 481 that completely divides 481 are.

1, 13, 37, 481


GCD of numbers is the greatest common divisor

So, the GCD (748, 398, 676, 481) = 1.

Find GCD of 748, 398, 676, 481 using Prime Factorization

Given numbers are 748, 398, 676, 481

The list of prime factors of all numbers are

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

Prime factors of 398 are 2 x 199

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 481 are 13 x 37

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

Steps to Calculate GCD of 748, 398, 676, 481 using LCM Formula

Given numbers are 748, 398, 676, 481

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

Apply this formula for all numbers.

Step1:

LCM(748, 398) = 148852

GCD(748, 398) = ( 748 x 398 ) / 148852

= 748 / 398

= 748


Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2


Step3:

LCM(2, 481) = 962

GCD(2, 481) = ( 2 x 481 ) / 962

= 2 / 481

= 2


So, Greatest Common Divisor of 748, 398, 676, 481 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 398, 676, 481

Given numbers are 748, 398, 676, 481
The greatest common divisor of numbers 748, 398, 676, 481 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 398, 676, 481 is 1.

FAQs on GCD of 748, 398, 676, 481 Calculator

1. What is the GCD of 748, 398, 676, 481?

GCD of given numbers 748, 398, 676, 481 is 1


2. How to calculate the greatest common divisor of 748, 398, 676, 481?

We can find the highest common divisor of 748, 398, 676, 481 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, 398, 676, 481 i.e 1.


3. How can I use the GCD of 748, 398, 676, 481Calculator?

Out the numbers 748, 398, 676, 481 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.