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GCD of 742, 628, 279, 947 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, 628, 279, 947 quickly. Get the easiest ways to solve the greatest common divisor of 742, 628, 279, 947 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 628, 279, 947 with Factoring?

Given Input numbers are 742, 628, 279, 947

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947


GCD of numbers is the greatest common divisor

So, the GCD (742, 628, 279, 947) = 1.

Find GCD of 742, 628, 279, 947 using Prime Factorization

Given numbers are 742, 628, 279, 947

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 628 are 2 x 2 x 157

Prime factors of 279 are 3 x 3 x 31

Prime factors of 947 are 947

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

Steps to Calculate GCD of 742, 628, 279, 947 using LCM Formula

Given numbers are 742, 628, 279, 947

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

Apply this formula for all numbers.

Step1:

LCM(742, 628) = 232988

GCD(742, 628) = ( 742 x 628 ) / 232988

= 742 / 628

= 742


Step2:

LCM(2, 279) = 558

GCD(2, 279) = ( 2 x 279 ) / 558

= 2 / 279

= 2


Step3:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1


So, Greatest Common Divisor of 742, 628, 279, 947 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 628, 279, 947

Given numbers are 742, 628, 279, 947
The greatest common divisor of numbers 742, 628, 279, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 628, 279, 947 is 1.

FAQs on GCD of 742, 628, 279, 947 Calculator

1. What is the GCD of 742, 628, 279, 947?

GCD of given numbers 742, 628, 279, 947 is 1


2. How to calculate the greatest common divisor of 742, 628, 279, 947?

We can find the highest common divisor of 742, 628, 279, 947 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, 628, 279, 947 i.e 1.


3. How can I use the GCD of 742, 628, 279, 947Calculator?

Out the numbers 742, 628, 279, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.