GCD of 308, 826, 87, 137 Calculator

Given Input numbers are 308, 826, 87, 137

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 137

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

1, 137

Greatest Common Divisior

We found the divisors of 308, 826, 87, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 826, 87, 137 is 1.

Therefore, GCD of numbers 308, 826, 87, 137 is 1

Given Input Data is 308, 826, 87, 137

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 87 is 3 x 29

Prime Factorization of 137 is 137

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(308, 826) = 18172

GCD(308, 826) = ( 308 x 826 ) / 18172

GCD(308, 826) = 254408 / 18172

GCD(308, 826) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 87

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

LCM(14, 87) = 1218

GCD(14, 87) = ( 14 x 87 ) / 1218

GCD(14, 87) = 1218 / 1218

GCD(14, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 308, 826, 87, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 354, 35, 150
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• GCD of 657, 281, 41, 622
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• GCD of 969, 495, 56, 708

1. What is the GCD of 308, 826, 87, 137?

GCD of 308, 826, 87, 137 is 1

2. Where do I get the detailed procedure to find GCD of 308, 826, 87, 137?

You can find a detailed procedure to find GCD of 308, 826, 87, 137 on our page.

3. How to find GCD of 308, 826, 87, 137 on a calculator?

You can find the GCD of 308, 826, 87, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.