GCD of 756, 754, 88, 212 Calculator

Given Input numbers are 756, 754, 88, 212

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 756, 754, 88, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 754, 88, 212 is 2.

Therefore, GCD of numbers 756, 754, 88, 212 is 2

Given Input Data is 756, 754, 88, 212

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 212 is 2 x 2 x 53

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(756, 754) = 285012

GCD(756, 754) = ( 756 x 754 ) / 285012

GCD(756, 754) = 570024 / 285012

GCD(756, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 756, 754, 88, 212 is 2

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1. What is the GCD of 756, 754, 88, 212?

GCD of 756, 754, 88, 212 is 2

2. Where do I get the detailed procedure to find GCD of 756, 754, 88, 212?

You can find a detailed procedure to find GCD of 756, 754, 88, 212 on our page.

3. How to find GCD of 756, 754, 88, 212 on a calculator?

You can find the GCD of 756, 754, 88, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.