GCD of 610, 268, 71, 147 Calculator

Given Input numbers are 610, 268, 71, 147

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 610, 268, 71, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 268, 71, 147 is 1.

Therefore, GCD of numbers 610, 268, 71, 147 is 1

Given Input Data is 610, 268, 71, 147

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 71 is 71

Prime Factorization of 147 is 3 x 7 x 7

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(610, 268) = 81740

GCD(610, 268) = ( 610 x 268 ) / 81740

GCD(610, 268) = 163480 / 81740

GCD(610, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 610, 268, 71, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 370, 15, 674
• GCD of 506, 995, 77, 803
• GCD of 428, 625, 16, 769
• GCD of 347, 642, 12, 992
• GCD of 471, 263, 35, 584

1. What is the GCD of 610, 268, 71, 147?

GCD of 610, 268, 71, 147 is 1

2. Where do I get the detailed procedure to find GCD of 610, 268, 71, 147?

You can find a detailed procedure to find GCD of 610, 268, 71, 147 on our page.

3. How to find GCD of 610, 268, 71, 147 on a calculator?

You can find the GCD of 610, 268, 71, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.