GCD of 625, 480, 780, 840 Calculator

Given Input numbers are 625, 480, 780, 840

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 625, 480, 780, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 480, 780, 840 is 5.

Therefore, GCD of numbers 625, 480, 780, 840 is 5

Given Input Data is 625, 480, 780, 840

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(625, 480) = 60000

GCD(625, 480) = ( 625 x 480 ) / 60000

GCD(625, 480) = 300000 / 60000

GCD(625, 480) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 780

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

LCM(5, 780) = 780

GCD(5, 780) = ( 5 x 780 ) / 780

GCD(5, 780) = 3900 / 780

GCD(5, 780) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 840

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

LCM(5, 840) = 840

GCD(5, 840) = ( 5 x 840 ) / 840

GCD(5, 840) = 4200 / 840

GCD(5, 840) = 5

GCD of 625, 480, 780, 840 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 999, 808, 409
• GCD of 995, 167, 654, 449
• GCD of 520, 912, 405, 476
• GCD of 388, 884, 747, 676
• GCD of 509, 594, 556, 640

1. What is the GCD of 625, 480, 780, 840?

GCD of 625, 480, 780, 840 is 5

2. Where do I get the detailed procedure to find GCD of 625, 480, 780, 840?

You can find a detailed procedure to find GCD of 625, 480, 780, 840 on our page.

3. How to find GCD of 625, 480, 780, 840 on a calculator?

You can find the GCD of 625, 480, 780, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.