GCD of 780, 998, 420, 108 Calculator

Given Input numbers are 780, 998, 420, 108

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 780, 998, 420, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 998, 420, 108 is 2.

Therefore, GCD of numbers 780, 998, 420, 108 is 2

Given Input Data is 780, 998, 420, 108

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 998 is 2 x 499

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(780, 998) = 389220

GCD(780, 998) = ( 780 x 998 ) / 389220

GCD(780, 998) = 778440 / 389220

GCD(780, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 420

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

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

GCD(2, 420) = 840 / 420

GCD(2, 420) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 780, 998, 420, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 207, 394, 816
• GCD of 714, 374, 880, 526
• GCD of 909, 753, 327, 942
• GCD of 907, 748, 943, 947
• GCD of 121, 446, 676, 849

1. What is the GCD of 780, 998, 420, 108?

GCD of 780, 998, 420, 108 is 2

2. Where do I get the detailed procedure to find GCD of 780, 998, 420, 108?

You can find a detailed procedure to find GCD of 780, 998, 420, 108 on our page.

3. How to find GCD of 780, 998, 420, 108 on a calculator?

You can find the GCD of 780, 998, 420, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.