GCD of 982, 636, 724, 300 Calculator

Given Input numbers are 982, 636, 724, 300

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 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (982, 636, 724, 300) = 2.

Given numbers are 982, 636, 724, 300

The list of prime factors of all numbers are

Prime factors of 982 are 2 x 491

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 724 are 2 x 2 x 181

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 982, 636, 724, 300 is 2.

Given numbers are 982, 636, 724, 300

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

Apply this formula for all numbers.

Step1:

LCM(982, 636) = 312276

GCD(982, 636) = ( 982 x 636 ) / 312276

= 982 / 636

= 982

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 982, 636, 724, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 680, 754, 473
• GCD of 760, 598, 346, 329
• GCD of 142, 771, 305, 913
• GCD of 680, 407, 584, 175
• GCD of 766, 772, 615, 374

Given numbers are 982, 636, 724, 300
The greatest common divisor of numbers 982, 636, 724, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 636, 724, 300 is 2.

1. What is the GCD of 982, 636, 724, 300?

GCD of given numbers 982, 636, 724, 300 is 2

2. How to calculate the greatest common divisor of 982, 636, 724, 300?

We can find the highest common divisor of 982, 636, 724, 300 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, 636, 724, 300 i.e 2.

3. How can I use the GCD of 982, 636, 724, 300Calculator?

Out the numbers 982, 636, 724, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.