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GCD of 748, 436, 353, 635 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, 436, 353, 635 quickly. Get the easiest ways to solve the greatest common divisor of 748, 436, 353, 635 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 436, 353, 635 with Factoring?

Given Input numbers are 748, 436, 353, 635

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 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635


GCD of numbers is the greatest common divisor

So, the GCD (748, 436, 353, 635) = 1.

Find GCD of 748, 436, 353, 635 using Prime Factorization

Given numbers are 748, 436, 353, 635

The list of prime factors of all numbers are

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

Prime factors of 436 are 2 x 2 x 109

Prime factors of 353 are 353

Prime factors of 635 are 5 x 127

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

Steps to Calculate GCD of 748, 436, 353, 635 using LCM Formula

Given numbers are 748, 436, 353, 635

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

Apply this formula for all numbers.

Step1:

LCM(748, 436) = 81532

GCD(748, 436) = ( 748 x 436 ) / 81532

= 748 / 436

= 748


Step2:

LCM(4, 353) = 1412

GCD(4, 353) = ( 4 x 353 ) / 1412

= 4 / 353

= 4


Step3:

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

= 1 / 635

= 1


So, Greatest Common Divisor of 748, 436, 353, 635 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 436, 353, 635

Given numbers are 748, 436, 353, 635
The greatest common divisor of numbers 748, 436, 353, 635 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 436, 353, 635 is 1.

FAQs on GCD of 748, 436, 353, 635 Calculator

1. What is the GCD of 748, 436, 353, 635?

GCD of given numbers 748, 436, 353, 635 is 1


2. How to calculate the greatest common divisor of 748, 436, 353, 635?

We can find the highest common divisor of 748, 436, 353, 635 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, 436, 353, 635 i.e 1.


3. How can I use the GCD of 748, 436, 353, 635Calculator?

Out the numbers 748, 436, 353, 635 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.