GCD of 137, 624, 914, 610 Calculator

Given Input numbers are 137, 624, 914, 610

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 610

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

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

Greatest Common Divisior

We found the divisors of 137, 624, 914, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 624, 914, 610 is 1.

Therefore, GCD of numbers 137, 624, 914, 610 is 1

Given Input Data is 137, 624, 914, 610

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

Prime Factorization of 137 is 137

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 914 is 2 x 457

Prime Factorization of 610 is 2 x 5 x 61

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(137, 624) = 85488

GCD(137, 624) = ( 137 x 624 ) / 85488

GCD(137, 624) = 85488 / 85488

GCD(137, 624) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 137, 624, 914, 610 is 1

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1. What is the GCD of 137, 624, 914, 610?

GCD of 137, 624, 914, 610 is 1

2. Where do I get the detailed procedure to find GCD of 137, 624, 914, 610?

You can find a detailed procedure to find GCD of 137, 624, 914, 610 on our page.

3. How to find GCD of 137, 624, 914, 610 on a calculator?

You can find the GCD of 137, 624, 914, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.