GCD of 123, 971, 76, 782 Calculator

Given Input numbers are 123, 971, 76, 782

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 123, 971, 76, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 971, 76, 782 is 1.

Therefore, GCD of numbers 123, 971, 76, 782 is 1

Given Input Data is 123, 971, 76, 782

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 971 is 971

Prime Factorization of 76 is 2 x 2 x 19

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(123, 971) = 119433

GCD(123, 971) = ( 123 x 971 ) / 119433

GCD(123, 971) = 119433 / 119433

GCD(123, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 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 123, 971, 76, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 295, 17, 190
• GCD of 276, 635, 63, 562
• GCD of 633, 103, 19, 673
• GCD of 116, 419, 23, 469
• GCD of 601, 186, 78, 186

1. What is the GCD of 123, 971, 76, 782?

GCD of 123, 971, 76, 782 is 1

2. Where do I get the detailed procedure to find GCD of 123, 971, 76, 782?

You can find a detailed procedure to find GCD of 123, 971, 76, 782 on our page.

3. How to find GCD of 123, 971, 76, 782 on a calculator?

You can find the GCD of 123, 971, 76, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.