GCD of 760, 524, 390, 971 Calculator

Given Input numbers are 760, 524, 390, 971

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 971

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

1, 971

Greatest Common Divisior

We found the divisors of 760, 524, 390, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 524, 390, 971 is 1.

Therefore, GCD of numbers 760, 524, 390, 971 is 1

Given Input Data is 760, 524, 390, 971

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 971 is 971

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(760, 524) = 99560

GCD(760, 524) = ( 760 x 524 ) / 99560

GCD(760, 524) = 398240 / 99560

GCD(760, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 390

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

LCM(4, 390) = 780

GCD(4, 390) = ( 4 x 390 ) / 780

GCD(4, 390) = 1560 / 780

GCD(4, 390) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

GCD of 760, 524, 390, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 291, 708, 866
• GCD of 281, 760, 362, 570
• GCD of 380, 165, 154, 196
• GCD of 833, 252, 909, 305
• GCD of 670, 635, 350, 828

1. What is the GCD of 760, 524, 390, 971?

GCD of 760, 524, 390, 971 is 1

2. Where do I get the detailed procedure to find GCD of 760, 524, 390, 971?

You can find a detailed procedure to find GCD of 760, 524, 390, 971 on our page.

3. How to find GCD of 760, 524, 390, 971 on a calculator?

You can find the GCD of 760, 524, 390, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.