GCD of 422, 766, 30, 971 Calculator

Given Input numbers are 422, 766, 30, 971

In the factoring method, we have to find the divisors of all numbers

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (422, 766, 30, 971) = 1.

Given numbers are 422, 766, 30, 971

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 766 are 2 x 383

Prime factors of 30 are 2 x 3 x 5

Prime factors of 971 are 971

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 422, 766, 30, 971

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(422, 766) = 161626

GCD(422, 766) = ( 422 x 766 ) / 161626

= 422 / 766

= 422

Step2:

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

= 2 / 30

= 2

Step3:

LCM(2, 971) = 1942

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

= 2 / 971

= 2

So, Greatest Common Divisor of 422, 766, 30, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 851, 77, 725
• GCD of 956, 845, 59, 730
• GCD of 697, 648, 46, 560
• GCD of 140, 545, 26, 290
• GCD of 550, 374, 95, 992

Given numbers are 422, 766, 30, 971
The greatest common divisor of numbers 422, 766, 30, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 766, 30, 971 is 1.

1. What is the GCD of 422, 766, 30, 971?

GCD of given numbers 422, 766, 30, 971 is 1

2. How to calculate the greatest common divisor of 422, 766, 30, 971?

We can find the highest common divisor of 422, 766, 30, 971 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 422, 766, 30, 971 i.e 1.

3. How can I use the GCD of 422, 766, 30, 971Calculator?

Out the numbers 422, 766, 30, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.