GCD of 745, 126, 23, 974 Calculator

Given Input numbers are 745, 126, 23, 974

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 745, 126, 23, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 126, 23, 974 is 1.

Therefore, GCD of numbers 745, 126, 23, 974 is 1

Given Input Data is 745, 126, 23, 974

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 23 is 23

Prime Factorization of 974 is 2 x 487

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(745, 126) = 93870

GCD(745, 126) = ( 745 x 126 ) / 93870

GCD(745, 126) = 93870 / 93870

GCD(745, 126) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 745, 126, 23, 974 is 1

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1. What is the GCD of 745, 126, 23, 974?

GCD of 745, 126, 23, 974 is 1

2. Where do I get the detailed procedure to find GCD of 745, 126, 23, 974?

You can find a detailed procedure to find GCD of 745, 126, 23, 974 on our page.

3. How to find GCD of 745, 126, 23, 974 on a calculator?

You can find the GCD of 745, 126, 23, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.