GCD of 752, 972, 78, 605 Calculator

Given Input numbers are 752, 972, 78, 605

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 752, 972, 78, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 972, 78, 605 is 1.

Therefore, GCD of numbers 752, 972, 78, 605 is 1

Given Input Data is 752, 972, 78, 605

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 605 is 5 x 11 x 11

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(752, 972) = 182736

GCD(752, 972) = ( 752 x 972 ) / 182736

GCD(752, 972) = 730944 / 182736

GCD(752, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 605

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

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

GCD(2, 605) = 1210 / 1210

GCD(2, 605) = 1

GCD of 752, 972, 78, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 105, 72, 969
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• GCD of 405, 533, 80, 355
• GCD of 109, 270, 21, 587
• GCD of 472, 963, 55, 738

1. What is the GCD of 752, 972, 78, 605?

GCD of 752, 972, 78, 605 is 1

2. Where do I get the detailed procedure to find GCD of 752, 972, 78, 605?

You can find a detailed procedure to find GCD of 752, 972, 78, 605 on our page.

3. How to find GCD of 752, 972, 78, 605 on a calculator?

You can find the GCD of 752, 972, 78, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.