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GCD of 742, 872, 403, 694 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, 872, 403, 694 quickly. Get the easiest ways to solve the greatest common divisor of 742, 872, 403, 694 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 872, 403, 694 with Factoring?

Given Input numbers are 742, 872, 403, 694

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694


GCD of numbers is the greatest common divisor

So, the GCD (742, 872, 403, 694) = 1.

Find GCD of 742, 872, 403, 694 using Prime Factorization

Given numbers are 742, 872, 403, 694

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 403 are 13 x 31

Prime factors of 694 are 2 x 347

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

Steps to Calculate GCD of 742, 872, 403, 694 using LCM Formula

Given numbers are 742, 872, 403, 694

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

Apply this formula for all numbers.

Step1:

LCM(742, 872) = 323512

GCD(742, 872) = ( 742 x 872 ) / 323512

= 742 / 872

= 742


Step2:

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

= 2 / 403

= 2


Step3:

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

= 1 / 694

= 1


So, Greatest Common Divisor of 742, 872, 403, 694 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 872, 403, 694

Given numbers are 742, 872, 403, 694
The greatest common divisor of numbers 742, 872, 403, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 872, 403, 694 is 1.

FAQs on GCD of 742, 872, 403, 694 Calculator

1. What is the GCD of 742, 872, 403, 694?

GCD of given numbers 742, 872, 403, 694 is 1


2. How to calculate the greatest common divisor of 742, 872, 403, 694?

We can find the highest common divisor of 742, 872, 403, 694 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, 872, 403, 694 i.e 1.


3. How can I use the GCD of 742, 872, 403, 694Calculator?

Out the numbers 742, 872, 403, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.