GCD of 840, 804, 748, 917 Calculator

Given Input numbers are 840, 804, 748, 917

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

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 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 840, 804, 748, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 804, 748, 917 is 1.

Therefore, GCD of numbers 840, 804, 748, 917 is 1

Given Input Data is 840, 804, 748, 917

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

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 917 is 7 x 131

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(840, 804) = 56280

GCD(840, 804) = ( 840 x 804 ) / 56280

GCD(840, 804) = 675360 / 56280

GCD(840, 804) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 748

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

LCM(12, 748) = 2244

GCD(12, 748) = ( 12 x 748 ) / 2244

GCD(12, 748) = 8976 / 2244

GCD(12, 748) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 917

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

LCM(4, 917) = 3668

GCD(4, 917) = ( 4 x 917 ) / 3668

GCD(4, 917) = 3668 / 3668

GCD(4, 917) = 1

GCD of 840, 804, 748, 917 is 1

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1. What is the GCD of 840, 804, 748, 917?

GCD of 840, 804, 748, 917 is 1

2. Where do I get the detailed procedure to find GCD of 840, 804, 748, 917?

You can find a detailed procedure to find GCD of 840, 804, 748, 917 on our page.

3. How to find GCD of 840, 804, 748, 917 on a calculator?

You can find the GCD of 840, 804, 748, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.