GCD of 977, 105, 315, 782 Calculator

Given Input numbers are 977, 105, 315, 782

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

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 977, 105, 315, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 105, 315, 782 is 1.

Therefore, GCD of numbers 977, 105, 315, 782 is 1

Given Input Data is 977, 105, 315, 782

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

Prime Factorization of 977 is 977

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 782 is 2 x 17 x 23

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(977, 105) = 102585

GCD(977, 105) = ( 977 x 105 ) / 102585

GCD(977, 105) = 102585 / 102585

GCD(977, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 977, 105, 315, 782 is 1

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1. What is the GCD of 977, 105, 315, 782?

GCD of 977, 105, 315, 782 is 1

2. Where do I get the detailed procedure to find GCD of 977, 105, 315, 782?

You can find a detailed procedure to find GCD of 977, 105, 315, 782 on our page.

3. How to find GCD of 977, 105, 315, 782 on a calculator?

You can find the GCD of 977, 105, 315, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.