GCD of 300, 672, 238, 982 Calculator

Given Input numbers are 300, 672, 238, 982

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

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

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 (300, 672, 238, 982) = 2.

Given numbers are 300, 672, 238, 982

The list of prime factors of all numbers are

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

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 238 are 2 x 7 x 17

Prime factors of 982 are 2 x 491

The highest common occurrence is 2¹

Therefore, GCD of 300, 672, 238, 982 is 2.

Given numbers are 300, 672, 238, 982

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

Apply this formula for all numbers.

Step1:

LCM(300, 672) = 16800

GCD(300, 672) = ( 300 x 672 ) / 16800

= 300 / 672

= 300

Step2:

LCM(12, 238) = 1428

GCD(12, 238) = ( 12 x 238 ) / 1428

= 12 / 238

= 12

Step3:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

So, Greatest Common Divisor of 300, 672, 238, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 812, 859, 747
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• GCD of 955, 331, 117, 288

Given numbers are 300, 672, 238, 982
The greatest common divisor of numbers 300, 672, 238, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 672, 238, 982 is 2.

1. What is the GCD of 300, 672, 238, 982?

GCD of given numbers 300, 672, 238, 982 is 2

2. How to calculate the greatest common divisor of 300, 672, 238, 982?

We can find the highest common divisor of 300, 672, 238, 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 300, 672, 238, 982 i.e 2.

3. How can I use the GCD of 300, 672, 238, 982Calculator?

Out the numbers 300, 672, 238, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.