GCD of 842, 344, 530, 972 Calculator

Given Input numbers are 842, 344, 530, 972

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (842, 344, 530, 972) = 2.

Given numbers are 842, 344, 530, 972

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 530 are 2 x 5 x 53

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 842, 344, 530, 972 is 2.

Given numbers are 842, 344, 530, 972

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

Apply this formula for all numbers.

Step1:

LCM(842, 344) = 144824

GCD(842, 344) = ( 842 x 344 ) / 144824

= 842 / 344

= 842

Step2:

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

= 2 / 530

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 842, 344, 530, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 207, 940, 601
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• GCD of 288, 826, 229, 466

Given numbers are 842, 344, 530, 972
The greatest common divisor of numbers 842, 344, 530, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 344, 530, 972 is 2.

1. What is the GCD of 842, 344, 530, 972?

GCD of given numbers 842, 344, 530, 972 is 2

2. How to calculate the greatest common divisor of 842, 344, 530, 972?

We can find the highest common divisor of 842, 344, 530, 972 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 842, 344, 530, 972 i.e 2.

3. How can I use the GCD of 842, 344, 530, 972Calculator?

Out the numbers 842, 344, 530, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.