GCD of 372, 748, 49, 708 Calculator

Given Input numbers are 372, 748, 49, 708

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 372, 748, 49, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 748, 49, 708 is 1.

Therefore, GCD of numbers 372, 748, 49, 708 is 1

Given Input Data is 372, 748, 49, 708

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 49 is 7 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(372, 748) = 69564

GCD(372, 748) = ( 372 x 748 ) / 69564

GCD(372, 748) = 278256 / 69564

GCD(372, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 372, 748, 49, 708 is 1

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1. What is the GCD of 372, 748, 49, 708?

GCD of 372, 748, 49, 708 is 1

2. Where do I get the detailed procedure to find GCD of 372, 748, 49, 708?

You can find a detailed procedure to find GCD of 372, 748, 49, 708 on our page.

3. How to find GCD of 372, 748, 49, 708 on a calculator?

You can find the GCD of 372, 748, 49, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.