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GCD of 692, 500, 742 Calculator

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

Online GCD Calculator is useful to find the GCD of 692, 500, 742 quickly. Get the easiest ways to solve the greatest common divisor of 692, 500, 742 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 692, 500, 742 with Factoring?

Given Input numbers are 692, 500, 742

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 742 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (692, 500, 742) = 2.

Find GCD of 692, 500, 742 using Prime Factorization

Given numbers are 692, 500, 742

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 21

Therefore, GCD of 692, 500, 742 is 2.

Steps to Calculate GCD of 692, 500, 742 using LCM Formula

Given numbers are 692, 500, 742

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

Apply this formula for all numbers.

Step1:

LCM(692, 500) = 86500

GCD(692, 500) = ( 692 x 500 ) / 86500

= 692 / 500

= 692

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4


So, Greatest Common Divisor of 692, 500, 742 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 692, 500, 742

Given numbers are 692, 500, 742
The greatest common divisor of numbers 692, 500, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 500, 742 is 2.

FAQs on GCD of 692, 500, 742 Calculator

1. What is the GCD of 692, 500, 742?

GCD of given numbers 692, 500, 742 is 2

2. How to calculate the greatest common divisor of 692, 500, 742?

We can find the highest common divisor of 692, 500, 742 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 692, 500, 742 i.e 2.

3. How can I use the GCD of 692, 500, 742Calculator?

Out the numbers 692, 500, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.