GCD of 820, 240, 56, 739 Calculator

Given Input numbers are 820, 240, 56, 739

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 820, 240, 56, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 240, 56, 739 is 1.

Therefore, GCD of numbers 820, 240, 56, 739 is 1

Given Input Data is 820, 240, 56, 739

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 739 is 739

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(820, 240) = 9840

GCD(820, 240) = ( 820 x 240 ) / 9840

GCD(820, 240) = 196800 / 9840

GCD(820, 240) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 56

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

LCM(20, 56) = 280

GCD(20, 56) = ( 20 x 56 ) / 280

GCD(20, 56) = 1120 / 280

GCD(20, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 739

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

LCM(4, 739) = 2956

GCD(4, 739) = ( 4 x 739 ) / 2956

GCD(4, 739) = 2956 / 2956

GCD(4, 739) = 1

GCD of 820, 240, 56, 739 is 1

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• GCD of 596, 358, 25, 876
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• GCD of 548, 794, 10, 981

1. What is the GCD of 820, 240, 56, 739?

GCD of 820, 240, 56, 739 is 1

2. Where do I get the detailed procedure to find GCD of 820, 240, 56, 739?

You can find a detailed procedure to find GCD of 820, 240, 56, 739 on our page.

3. How to find GCD of 820, 240, 56, 739 on a calculator?

You can find the GCD of 820, 240, 56, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.