GCD of 981, 675, 948, 780 Calculator

Given Input numbers are 981, 675, 948, 780

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 981, 675, 948, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 675, 948, 780 is 3.

Therefore, GCD of numbers 981, 675, 948, 780 is 3

Given Input Data is 981, 675, 948, 780

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(981, 675) = 73575

GCD(981, 675) = ( 981 x 675 ) / 73575

GCD(981, 675) = 662175 / 73575

GCD(981, 675) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 948

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

LCM(9, 948) = 2844

GCD(9, 948) = ( 9 x 948 ) / 2844

GCD(9, 948) = 8532 / 2844

GCD(9, 948) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 780

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

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

GCD(3, 780) = 2340 / 780

GCD(3, 780) = 3

GCD of 981, 675, 948, 780 is 3

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1. What is the GCD of 981, 675, 948, 780?

GCD of 981, 675, 948, 780 is 3

2. Where do I get the detailed procedure to find GCD of 981, 675, 948, 780?

You can find a detailed procedure to find GCD of 981, 675, 948, 780 on our page.

3. How to find GCD of 981, 675, 948, 780 on a calculator?

You can find the GCD of 981, 675, 948, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.