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GCD of 742, 987, 909, 636 Calculator

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


Online GCD Calculator is useful to find the GCD of 742, 987, 909, 636 quickly. Get the easiest ways to solve the greatest common divisor of 742, 987, 909, 636 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 987, 909, 636 with Factoring?

Given Input numbers are 742, 987, 909, 636

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636


GCD of numbers is the greatest common divisor

So, the GCD (742, 987, 909, 636) = 1.

Find GCD of 742, 987, 909, 636 using Prime Factorization

Given numbers are 742, 987, 909, 636

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 987 are 3 x 7 x 47

Prime factors of 909 are 3 x 3 x 101

Prime factors of 636 are 2 x 2 x 3 x 53

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

Steps to Calculate GCD of 742, 987, 909, 636 using LCM Formula

Given numbers are 742, 987, 909, 636

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

Apply this formula for all numbers.

Step1:

LCM(742, 987) = 104622

GCD(742, 987) = ( 742 x 987 ) / 104622

= 742 / 987

= 742


Step2:

LCM(7, 909) = 6363

GCD(7, 909) = ( 7 x 909 ) / 6363

= 7 / 909

= 7


Step3:

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

= 1 / 636

= 1


So, Greatest Common Divisor of 742, 987, 909, 636 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 987, 909, 636

Given numbers are 742, 987, 909, 636
The greatest common divisor of numbers 742, 987, 909, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 987, 909, 636 is 1.

FAQs on GCD of 742, 987, 909, 636 Calculator

1. What is the GCD of 742, 987, 909, 636?

GCD of given numbers 742, 987, 909, 636 is 1


2. How to calculate the greatest common divisor of 742, 987, 909, 636?

We can find the highest common divisor of 742, 987, 909, 636 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 742, 987, 909, 636 i.e 1.


3. How can I use the GCD of 742, 987, 909, 636Calculator?

Out the numbers 742, 987, 909, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.