GCD of 564, 412, 982, 971 Calculator

Given Input numbers are 564, 412, 982, 971

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

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 (564, 412, 982, 971) = 1.

Given numbers are 564, 412, 982, 971

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 412 are 2 x 2 x 103

Prime factors of 982 are 2 x 491

Prime factors of 971 are 971

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

Given numbers are 564, 412, 982, 971

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

Apply this formula for all numbers.

Step1:

LCM(564, 412) = 58092

GCD(564, 412) = ( 564 x 412 ) / 58092

= 564 / 412

= 564

Step2:

LCM(4, 982) = 1964

GCD(4, 982) = ( 4 x 982 ) / 1964

= 4 / 982

= 4

Step3:

LCM(2, 971) = 1942

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

= 2 / 971

= 2

So, Greatest Common Divisor of 564, 412, 982, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 618, 527, 758
• GCD of 914, 500, 807, 270
• GCD of 503, 771, 829, 492
• GCD of 184, 978, 294, 578
• GCD of 989, 375, 695, 504

Given numbers are 564, 412, 982, 971
The greatest common divisor of numbers 564, 412, 982, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 412, 982, 971 is 1.

1. What is the GCD of 564, 412, 982, 971?

GCD of given numbers 564, 412, 982, 971 is 1

2. How to calculate the greatest common divisor of 564, 412, 982, 971?

We can find the highest common divisor of 564, 412, 982, 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 564, 412, 982, 971 i.e 1.

3. How can I use the GCD of 564, 412, 982, 971Calculator?

Out the numbers 564, 412, 982, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.