GCD of 712, 546, 56, 764 Calculator

Given Input numbers are 712, 546, 56, 764

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 712, 546, 56, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 546, 56, 764 is 2.

Therefore, GCD of numbers 712, 546, 56, 764 is 2

Given Input Data is 712, 546, 56, 764

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 764 is 2 x 2 x 191

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(712, 546) = 194376

GCD(712, 546) = ( 712 x 546 ) / 194376

GCD(712, 546) = 388752 / 194376

GCD(712, 546) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 712, 546, 56, 764 is 2

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1. What is the GCD of 712, 546, 56, 764?

GCD of 712, 546, 56, 764 is 2

2. Where do I get the detailed procedure to find GCD of 712, 546, 56, 764?

You can find a detailed procedure to find GCD of 712, 546, 56, 764 on our page.

3. How to find GCD of 712, 546, 56, 764 on a calculator?

You can find the GCD of 712, 546, 56, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.