GCD of 61, 544, 101, 130 Calculator

Given Input numbers are 61, 544, 101, 130

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 61, 544, 101, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 544, 101, 130 is 1.

Therefore, GCD of numbers 61, 544, 101, 130 is 1

Given Input Data is 61, 544, 101, 130

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

Prime Factorization of 61 is 61

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 101 is 101

Prime Factorization of 130 is 2 x 5 x 13

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(61, 544) = 33184

GCD(61, 544) = ( 61 x 544 ) / 33184

GCD(61, 544) = 33184 / 33184

GCD(61, 544) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 61, 544, 101, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 349, 312, 297
• GCD of 88, 889, 497, 256
• GCD of 79, 982, 534, 997
• GCD of 12, 995, 333, 218
• GCD of 10, 607, 454, 125

1. What is the GCD of 61, 544, 101, 130?

GCD of 61, 544, 101, 130 is 1

2. Where do I get the detailed procedure to find GCD of 61, 544, 101, 130?

You can find a detailed procedure to find GCD of 61, 544, 101, 130 on our page.

3. How to find GCD of 61, 544, 101, 130 on a calculator?

You can find the GCD of 61, 544, 101, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.