GCD of 61, 510, 119, 158 Calculator

Given Input numbers are 61, 510, 119, 158

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 61, 510, 119, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 510, 119, 158 is 1.

Therefore, GCD of numbers 61, 510, 119, 158 is 1

Given Input Data is 61, 510, 119, 158

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

Prime Factorization of 61 is 61

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 119 is 7 x 17

Prime Factorization of 158 is 2 x 79

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, 510) = 31110

GCD(61, 510) = ( 61 x 510 ) / 31110

GCD(61, 510) = 31110 / 31110

GCD(61, 510) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 61, 510, 119, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 323, 288, 180
• GCD of 27, 912, 445, 260
• GCD of 15, 331, 561, 714
• GCD of 91, 641, 488, 799
• GCD of 12, 495, 649, 134

1. What is the GCD of 61, 510, 119, 158?

GCD of 61, 510, 119, 158 is 1

2. Where do I get the detailed procedure to find GCD of 61, 510, 119, 158?

You can find a detailed procedure to find GCD of 61, 510, 119, 158 on our page.

3. How to find GCD of 61, 510, 119, 158 on a calculator?

You can find the GCD of 61, 510, 119, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.