GCD of 456, 120, 982, 846 Calculator

Given Input numbers are 456, 120, 982, 846

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 982 :

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

1, 2, 491, 982

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

GCD of numbers is the greatest common divisor

So, the GCD (456, 120, 982, 846) = 2.

Given numbers are 456, 120, 982, 846

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 982 are 2 x 491

Prime factors of 846 are 2 x 3 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 456, 120, 982, 846 is 2.

Given numbers are 456, 120, 982, 846

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

Apply this formula for all numbers.

Step1:

LCM(456, 120) = 2280

GCD(456, 120) = ( 456 x 120 ) / 2280

= 456 / 120

= 456

Step2:

LCM(24, 982) = 11784

GCD(24, 982) = ( 24 x 982 ) / 11784

= 24 / 982

= 24

Step3:

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

= 2 / 846

= 2

So, Greatest Common Divisor of 456, 120, 982, 846 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 537, 779, 359
• GCD of 668, 334, 101, 579
• GCD of 382, 510, 295, 377
• GCD of 730, 734, 149, 765
• GCD of 990, 494, 268, 971

Given numbers are 456, 120, 982, 846
The greatest common divisor of numbers 456, 120, 982, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 120, 982, 846 is 2.

1. What is the GCD of 456, 120, 982, 846?

GCD of given numbers 456, 120, 982, 846 is 2

2. How to calculate the greatest common divisor of 456, 120, 982, 846?

We can find the highest common divisor of 456, 120, 982, 846 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 456, 120, 982, 846 i.e 2.

3. How can I use the GCD of 456, 120, 982, 846Calculator?

Out the numbers 456, 120, 982, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.