GCD of 561, 948, 507, 642 Calculator

Given Input numbers are 561, 948, 507, 642

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

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 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 561, 948, 507, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 948, 507, 642 is 3.

Therefore, GCD of numbers 561, 948, 507, 642 is 3

Given Input Data is 561, 948, 507, 642

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

Prime Factorization of 561 is 3 x 11 x 17

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 642 is 2 x 3 x 107

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(561, 948) = 177276

GCD(561, 948) = ( 561 x 948 ) / 177276

GCD(561, 948) = 531828 / 177276

GCD(561, 948) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 507

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

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

GCD(3, 507) = 1521 / 507

GCD(3, 507) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 642

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

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

GCD(3, 642) = 1926 / 642

GCD(3, 642) = 3

GCD of 561, 948, 507, 642 is 3

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1. What is the GCD of 561, 948, 507, 642?

GCD of 561, 948, 507, 642 is 3

2. Where do I get the detailed procedure to find GCD of 561, 948, 507, 642?

You can find a detailed procedure to find GCD of 561, 948, 507, 642 on our page.

3. How to find GCD of 561, 948, 507, 642 on a calculator?

You can find the GCD of 561, 948, 507, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.