GCD of 969, 747, 416, 113 Calculator

Given Input numbers are 969, 747, 416, 113

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 969, 747, 416, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 747, 416, 113 is 1.

Therefore, GCD of numbers 969, 747, 416, 113 is 1

Given Input Data is 969, 747, 416, 113

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 113 is 113

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(969, 747) = 241281

GCD(969, 747) = ( 969 x 747 ) / 241281

GCD(969, 747) = 723843 / 241281

GCD(969, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 416

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

LCM(3, 416) = 1248

GCD(3, 416) = ( 3 x 416 ) / 1248

GCD(3, 416) = 1248 / 1248

GCD(3, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 969, 747, 416, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 724, 298, 123
• GCD of 352, 390, 566, 796
• GCD of 470, 175, 864, 823
• GCD of 171, 653, 513, 993
• GCD of 328, 609, 116, 889

1. What is the GCD of 969, 747, 416, 113?

GCD of 969, 747, 416, 113 is 1

2. Where do I get the detailed procedure to find GCD of 969, 747, 416, 113?

You can find a detailed procedure to find GCD of 969, 747, 416, 113 on our page.

3. How to find GCD of 969, 747, 416, 113 on a calculator?

You can find the GCD of 969, 747, 416, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.