GCD of 709, 780, 838, 986 Calculator

Given Input numbers are 709, 780, 838, 986

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 709, 780, 838, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 780, 838, 986 is 1.

Therefore, GCD of numbers 709, 780, 838, 986 is 1

Given Input Data is 709, 780, 838, 986

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

Prime Factorization of 709 is 709

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 838 is 2 x 419

Prime Factorization of 986 is 2 x 17 x 29

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(709, 780) = 553020

GCD(709, 780) = ( 709 x 780 ) / 553020

GCD(709, 780) = 553020 / 553020

GCD(709, 780) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 709, 780, 838, 986 is 1

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1. What is the GCD of 709, 780, 838, 986?

GCD of 709, 780, 838, 986 is 1

2. Where do I get the detailed procedure to find GCD of 709, 780, 838, 986?

You can find a detailed procedure to find GCD of 709, 780, 838, 986 on our page.

3. How to find GCD of 709, 780, 838, 986 on a calculator?

You can find the GCD of 709, 780, 838, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.