GCD of 676, 752, 692 Calculator

Given Input numbers are 676, 752, 692

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 676, 752, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 752, 692 is 4.

Therefore, GCD of numbers 676, 752, 692 is 4

Given Input Data is 676, 752, 692

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 692 is 2 x 2 x 173

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(676, 752) = 127088

GCD(676, 752) = ( 676 x 752 ) / 127088

GCD(676, 752) = 508352 / 127088

GCD(676, 752) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 692

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

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

GCD(4, 692) = 2768 / 692

GCD(4, 692) = 4

GCD of 676, 752, 692 is 4

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1. What is the GCD of 676, 752, 692?

GCD of 676, 752, 692 is 4

2. Where do I get the detailed procedure to find GCD of 676, 752, 692?

You can find a detailed procedure to find GCD of 676, 752, 692 on our page.

3. How to find GCD of 676, 752, 692 on a calculator?

You can find the GCD of 676, 752, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.