GCD of 748, 701, 24, 356 Calculator

Given Input numbers are 748, 701, 24, 356

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

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 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 748, 701, 24, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 701, 24, 356 is 1.

Therefore, GCD of numbers 748, 701, 24, 356 is 1

Given Input Data is 748, 701, 24, 356

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

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

Prime Factorization of 701 is 701

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 356 is 2 x 2 x 89

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(748, 701) = 524348

GCD(748, 701) = ( 748 x 701 ) / 524348

GCD(748, 701) = 524348 / 524348

GCD(748, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 748, 701, 24, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 927, 97, 759
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• GCD of 968, 882, 33, 137

1. What is the GCD of 748, 701, 24, 356?

GCD of 748, 701, 24, 356 is 1

2. Where do I get the detailed procedure to find GCD of 748, 701, 24, 356?

You can find a detailed procedure to find GCD of 748, 701, 24, 356 on our page.

3. How to find GCD of 748, 701, 24, 356 on a calculator?

You can find the GCD of 748, 701, 24, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.