GCD of 31, 490, 615, 132 Calculator

Given Input numbers are 31, 490, 615, 132

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

Divisors of 31

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

1, 31

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 31, 490, 615, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 490, 615, 132 is 1.

Therefore, GCD of numbers 31, 490, 615, 132 is 1

Given Input Data is 31, 490, 615, 132

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

Prime Factorization of 31 is 31

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 132 is 2 x 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(31, 490) = 15190

GCD(31, 490) = ( 31 x 490 ) / 15190

GCD(31, 490) = 15190 / 15190

GCD(31, 490) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 31, 490, 615, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 704, 573, 217
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• GCD of 78, 312, 456, 934
• GCD of 53, 272, 457, 388
• GCD of 69, 615, 546, 946

1. What is the GCD of 31, 490, 615, 132?

GCD of 31, 490, 615, 132 is 1

2. Where do I get the detailed procedure to find GCD of 31, 490, 615, 132?

You can find a detailed procedure to find GCD of 31, 490, 615, 132 on our page.

3. How to find GCD of 31, 490, 615, 132 on a calculator?

You can find the GCD of 31, 490, 615, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.