GCD of 784, 180, 753, 620 Calculator

Given Input numbers are 784, 180, 753, 620

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

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 784, 180, 753, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 180, 753, 620 is 1.

Therefore, GCD of numbers 784, 180, 753, 620 is 1

Given Input Data is 784, 180, 753, 620

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

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 753 is 3 x 251

Prime Factorization of 620 is 2 x 2 x 5 x 31

The above numbers do not have any common prime factor. So GCD is 1

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(784, 180) = 35280

GCD(784, 180) = ( 784 x 180 ) / 35280

GCD(784, 180) = 141120 / 35280

GCD(784, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 753

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

LCM(4, 753) = 3012

GCD(4, 753) = ( 4 x 753 ) / 3012

GCD(4, 753) = 3012 / 3012

GCD(4, 753) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

GCD of 784, 180, 753, 620 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 958, 415, 852
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• GCD of 225, 671, 764, 521

1. What is the GCD of 784, 180, 753, 620?

GCD of 784, 180, 753, 620 is 1

2. Where do I get the detailed procedure to find GCD of 784, 180, 753, 620?

You can find a detailed procedure to find GCD of 784, 180, 753, 620 on our page.

3. How to find GCD of 784, 180, 753, 620 on a calculator?

You can find the GCD of 784, 180, 753, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.