GCD of 124, 840, 784, 720 Calculator

Given Input numbers are 124, 840, 784, 720

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 124, 840, 784, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 840, 784, 720 is 4.

Therefore, GCD of numbers 124, 840, 784, 720 is 4

Given Input Data is 124, 840, 784, 720

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

Prime Factorization of 124 is 2 x 2 x 31

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(124, 840) = 26040

GCD(124, 840) = ( 124 x 840 ) / 26040

GCD(124, 840) = 104160 / 26040

GCD(124, 840) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 784

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

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

GCD(4, 784) = 3136 / 784

GCD(4, 784) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 720

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

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

GCD(4, 720) = 2880 / 720

GCD(4, 720) = 4

GCD of 124, 840, 784, 720 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 920, 490, 402
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• GCD of 788, 300, 712, 366
• GCD of 795, 686, 239, 616

1. What is the GCD of 124, 840, 784, 720?

GCD of 124, 840, 784, 720 is 4

2. Where do I get the detailed procedure to find GCD of 124, 840, 784, 720?

You can find a detailed procedure to find GCD of 124, 840, 784, 720 on our page.

3. How to find GCD of 124, 840, 784, 720 on a calculator?

You can find the GCD of 124, 840, 784, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.