GCD of 420, 392, 22, 982 Calculator

Given Input numbers are 420, 392, 22, 982

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

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 (420, 392, 22, 982) = 2.

Given numbers are 420, 392, 22, 982

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 22 are 2 x 11

Prime factors of 982 are 2 x 491

The highest common occurrence is 2¹

Therefore, GCD of 420, 392, 22, 982 is 2.

Given numbers are 420, 392, 22, 982

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

Apply this formula for all numbers.

Step1:

LCM(420, 392) = 5880

GCD(420, 392) = ( 420 x 392 ) / 5880

= 420 / 392

= 420

Step2:

LCM(28, 22) = 308

GCD(28, 22) = ( 28 x 22 ) / 308

= 28 / 22

= 28

Step3:

LCM(2, 982) = 982

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

= 2 / 982

= 2

So, Greatest Common Divisor of 420, 392, 22, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 564, 57, 306
• GCD of 610, 251, 87, 490
• GCD of 323, 710, 97, 534
• GCD of 348, 500, 26, 470
• GCD of 842, 586, 92, 587

Given numbers are 420, 392, 22, 982
The greatest common divisor of numbers 420, 392, 22, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 392, 22, 982 is 2.

1. What is the GCD of 420, 392, 22, 982?

GCD of given numbers 420, 392, 22, 982 is 2

2. How to calculate the greatest common divisor of 420, 392, 22, 982?

We can find the highest common divisor of 420, 392, 22, 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 420, 392, 22, 982 i.e 2.

3. How can I use the GCD of 420, 392, 22, 982Calculator?

Out the numbers 420, 392, 22, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.