GCD of 982, 702, 646, 504 Calculator

Given Input numbers are 982, 702, 646, 504

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

Divisors of 982 :

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

1, 2, 491, 982

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (982, 702, 646, 504) = 2.

Given numbers are 982, 702, 646, 504

The list of prime factors of all numbers are

Prime factors of 982 are 2 x 491

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 646 are 2 x 17 x 19

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 982, 702, 646, 504 is 2.

Given numbers are 982, 702, 646, 504

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

Apply this formula for all numbers.

Step1:

LCM(982, 702) = 344682

GCD(982, 702) = ( 982 x 702 ) / 344682

= 982 / 702

= 982

Step2:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 982, 702, 646, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 605, 128, 810
• GCD of 423, 552, 925, 410
• GCD of 721, 594, 649, 881
• GCD of 641, 619, 184, 413
• GCD of 490, 543, 770, 857

Given numbers are 982, 702, 646, 504
The greatest common divisor of numbers 982, 702, 646, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 702, 646, 504 is 2.

1. What is the GCD of 982, 702, 646, 504?

GCD of given numbers 982, 702, 646, 504 is 2

2. How to calculate the greatest common divisor of 982, 702, 646, 504?

We can find the highest common divisor of 982, 702, 646, 504 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 982, 702, 646, 504 i.e 2.

3. How can I use the GCD of 982, 702, 646, 504Calculator?

Out the numbers 982, 702, 646, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.