GCD of 642, 318, 756, 982 Calculator

Given Input numbers are 642, 318, 756, 982

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 982 :

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

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (642, 318, 756, 982) = 2.

Given numbers are 642, 318, 756, 982

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 318 are 2 x 3 x 53

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 982 are 2 x 491

The highest common occurrence is 2¹

Therefore, GCD of 642, 318, 756, 982 is 2.

Given numbers are 642, 318, 756, 982

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

Apply this formula for all numbers.

Step1:

LCM(642, 318) = 34026

GCD(642, 318) = ( 642 x 318 ) / 34026

= 642 / 318

= 642

Step2:

LCM(6, 756) = 756

GCD(6, 756) = ( 6 x 756 ) / 756

= 6 / 756

= 6

Step3:

LCM(6, 982) = 2946

GCD(6, 982) = ( 6 x 982 ) / 2946

= 6 / 982

= 6

So, Greatest Common Divisor of 642, 318, 756, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 461, 333, 227
• GCD of 576, 342, 822, 947
• GCD of 409, 570, 341, 592
• GCD of 236, 147, 268, 952
• GCD of 438, 543, 655, 144

Given numbers are 642, 318, 756, 982
The greatest common divisor of numbers 642, 318, 756, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 318, 756, 982 is 2.

1. What is the GCD of 642, 318, 756, 982?

GCD of given numbers 642, 318, 756, 982 is 2

2. How to calculate the greatest common divisor of 642, 318, 756, 982?

We can find the highest common divisor of 642, 318, 756, 982 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 642, 318, 756, 982 i.e 2.

3. How can I use the GCD of 642, 318, 756, 982Calculator?

Out the numbers 642, 318, 756, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.