GCD of 52, 31, 77, 66 Calculator

Given Input numbers are 52, 31, 77, 66

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 52, 31, 77, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 31, 77, 66 is 1.

Therefore, GCD of numbers 52, 31, 77, 66 is 1

Given Input Data is 52, 31, 77, 66

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 31 is 31

Prime Factorization of 77 is 7 x 11

Prime Factorization of 66 is 2 x 3 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(52, 31) = 1612

GCD(52, 31) = ( 52 x 31 ) / 1612

GCD(52, 31) = 1612 / 1612

GCD(52, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 52, 31, 77, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 89, 64, 21
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• GCD of 98, 55, 87, 42
• GCD of 55, 36, 90, 58
• GCD of 73, 18, 74, 11

1. What is the GCD of 52, 31, 77, 66?

GCD of 52, 31, 77, 66 is 1

2. Where do I get the detailed procedure to find GCD of 52, 31, 77, 66?

You can find a detailed procedure to find GCD of 52, 31, 77, 66 on our page.

3. How to find GCD of 52, 31, 77, 66 on a calculator?

You can find the GCD of 52, 31, 77, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.