GCD of 840, 956, 487, 274 Calculator

Given Input numbers are 840, 956, 487, 274

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 840, 956, 487, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 956, 487, 274 is 1.

Therefore, GCD of numbers 840, 956, 487, 274 is 1

Given Input Data is 840, 956, 487, 274

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 956 is 2 x 2 x 239

Prime Factorization of 487 is 487

Prime Factorization of 274 is 2 x 137

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, 956) = 200760

GCD(840, 956) = ( 840 x 956 ) / 200760

GCD(840, 956) = 803040 / 200760

GCD(840, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 487

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

LCM(4, 487) = 1948

GCD(4, 487) = ( 4 x 487 ) / 1948

GCD(4, 487) = 1948 / 1948

GCD(4, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 840, 956, 487, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 290, 482, 666
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• GCD of 372, 743, 112, 770

1. What is the GCD of 840, 956, 487, 274?

GCD of 840, 956, 487, 274 is 1

2. Where do I get the detailed procedure to find GCD of 840, 956, 487, 274?

You can find a detailed procedure to find GCD of 840, 956, 487, 274 on our page.

3. How to find GCD of 840, 956, 487, 274 on a calculator?

You can find the GCD of 840, 956, 487, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.