GCD of 28, 686, 942, 715 Calculator

Given Input numbers are 28, 686, 942, 715

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 28, 686, 942, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 686, 942, 715 is 1.

Therefore, GCD of numbers 28, 686, 942, 715 is 1

Given Input Data is 28, 686, 942, 715

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 715 is 5 x 11 x 13

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(28, 686) = 1372

GCD(28, 686) = ( 28 x 686 ) / 1372

GCD(28, 686) = 19208 / 1372

GCD(28, 686) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 942

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

LCM(14, 942) = 6594

GCD(14, 942) = ( 14 x 942 ) / 6594

GCD(14, 942) = 13188 / 6594

GCD(14, 942) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 715

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

LCM(2, 715) = 1430

GCD(2, 715) = ( 2 x 715 ) / 1430

GCD(2, 715) = 1430 / 1430

GCD(2, 715) = 1

GCD of 28, 686, 942, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 584, 817, 770
• GCD of 98, 686, 158, 838
• GCD of 51, 527, 307, 459
• GCD of 50, 927, 197, 817
• GCD of 64, 642, 173, 154

1. What is the GCD of 28, 686, 942, 715?

GCD of 28, 686, 942, 715 is 1

2. Where do I get the detailed procedure to find GCD of 28, 686, 942, 715?

You can find a detailed procedure to find GCD of 28, 686, 942, 715 on our page.

3. How to find GCD of 28, 686, 942, 715 on a calculator?

You can find the GCD of 28, 686, 942, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.