GCD of 107, 355, 10, 781 Calculator

Given Input numbers are 107, 355, 10, 781

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 107, 355, 10, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 355, 10, 781 is 1.

Therefore, GCD of numbers 107, 355, 10, 781 is 1

Given Input Data is 107, 355, 10, 781

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

Prime Factorization of 107 is 107

Prime Factorization of 355 is 5 x 71

Prime Factorization of 10 is 2 x 5

Prime Factorization of 781 is 11 x 71

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(107, 355) = 37985

GCD(107, 355) = ( 107 x 355 ) / 37985

GCD(107, 355) = 37985 / 37985

GCD(107, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 781

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

LCM(1, 781) = 781

GCD(1, 781) = ( 1 x 781 ) / 781

GCD(1, 781) = 781 / 781

GCD(1, 781) = 1

GCD of 107, 355, 10, 781 is 1

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• GCD of 349, 667, 64, 154
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1. What is the GCD of 107, 355, 10, 781?

GCD of 107, 355, 10, 781 is 1

2. Where do I get the detailed procedure to find GCD of 107, 355, 10, 781?

You can find a detailed procedure to find GCD of 107, 355, 10, 781 on our page.

3. How to find GCD of 107, 355, 10, 781 on a calculator?

You can find the GCD of 107, 355, 10, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.