GCD of 390, 762, 70, 972 Calculator

Given Input numbers are 390, 762, 70, 972

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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

Greatest Common Divisior

We found the divisors of 390, 762, 70, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 762, 70, 972 is 2.

Therefore, GCD of numbers 390, 762, 70, 972 is 2

Given Input Data is 390, 762, 70, 972

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 70 is 2 x 5 x 7

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

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(390, 762) = 49530

GCD(390, 762) = ( 390 x 762 ) / 49530

GCD(390, 762) = 297180 / 49530

GCD(390, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 70

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

LCM(6, 70) = 210

GCD(6, 70) = ( 6 x 70 ) / 210

GCD(6, 70) = 420 / 210

GCD(6, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

GCD of 390, 762, 70, 972 is 2

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1. What is the GCD of 390, 762, 70, 972?

GCD of 390, 762, 70, 972 is 2

2. Where do I get the detailed procedure to find GCD of 390, 762, 70, 972?

You can find a detailed procedure to find GCD of 390, 762, 70, 972 on our page.

3. How to find GCD of 390, 762, 70, 972 on a calculator?

You can find the GCD of 390, 762, 70, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.