GCD of 792, 760, 694, 498 Calculator

Given Input numbers are 792, 760, 694, 498

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 792, 760, 694, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 760, 694, 498 is 2.

Therefore, GCD of numbers 792, 760, 694, 498 is 2

Given Input Data is 792, 760, 694, 498

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 694 is 2 x 347

Prime Factorization of 498 is 2 x 3 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(792, 760) = 75240

GCD(792, 760) = ( 792 x 760 ) / 75240

GCD(792, 760) = 601920 / 75240

GCD(792, 760) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 694

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

LCM(8, 694) = 2776

GCD(8, 694) = ( 8 x 694 ) / 2776

GCD(8, 694) = 5552 / 2776

GCD(8, 694) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

GCD of 792, 760, 694, 498 is 2

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1. What is the GCD of 792, 760, 694, 498?

GCD of 792, 760, 694, 498 is 2

2. Where do I get the detailed procedure to find GCD of 792, 760, 694, 498?

You can find a detailed procedure to find GCD of 792, 760, 694, 498 on our page.

3. How to find GCD of 792, 760, 694, 498 on a calculator?

You can find the GCD of 792, 760, 694, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.