GCD of 654, 414, 79, 971 Calculator

Given Input numbers are 654, 414, 79, 971

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

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 654, 414, 79, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 414, 79, 971 is 1.

Therefore, GCD of numbers 654, 414, 79, 971 is 1

Given Input Data is 654, 414, 79, 971

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 79 is 79

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(654, 414) = 45126

GCD(654, 414) = ( 654 x 414 ) / 45126

GCD(654, 414) = 270756 / 45126

GCD(654, 414) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 79

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

LCM(6, 79) = 474

GCD(6, 79) = ( 6 x 79 ) / 474

GCD(6, 79) = 474 / 474

GCD(6, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 654, 414, 79, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 821, 91, 632
• GCD of 969, 773, 80, 994
• GCD of 207, 474, 21, 770
• GCD of 127, 915, 59, 630
• GCD of 540, 641, 49, 807

1. What is the GCD of 654, 414, 79, 971?

GCD of 654, 414, 79, 971 is 1

2. Where do I get the detailed procedure to find GCD of 654, 414, 79, 971?

You can find a detailed procedure to find GCD of 654, 414, 79, 971 on our page.

3. How to find GCD of 654, 414, 79, 971 on a calculator?

You can find the GCD of 654, 414, 79, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.