GCD of 754, 498, 77, 696 Calculator

Given Input numbers are 754, 498, 77, 696

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 498

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

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 754, 498, 77, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 498, 77, 696 is 1.

Therefore, GCD of numbers 754, 498, 77, 696 is 1

Given Input Data is 754, 498, 77, 696

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 77 is 7 x 11

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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

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(754, 498) = 187746

GCD(754, 498) = ( 754 x 498 ) / 187746

GCD(754, 498) = 375492 / 187746

GCD(754, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 754, 498, 77, 696 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 651, 46, 724
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• GCD of 836, 715, 47, 566
• GCD of 780, 944, 39, 695
• GCD of 376, 734, 58, 840

1. What is the GCD of 754, 498, 77, 696?

GCD of 754, 498, 77, 696 is 1

2. Where do I get the detailed procedure to find GCD of 754, 498, 77, 696?

You can find a detailed procedure to find GCD of 754, 498, 77, 696 on our page.

3. How to find GCD of 754, 498, 77, 696 on a calculator?

You can find the GCD of 754, 498, 77, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.