GCD of 942, 357, 714, 506 Calculator

Given Input numbers are 942, 357, 714, 506

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

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 942, 357, 714, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 357, 714, 506 is 1.

Therefore, GCD of numbers 942, 357, 714, 506 is 1

Given Input Data is 942, 357, 714, 506

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 506 is 2 x 11 x 23

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(942, 357) = 112098

GCD(942, 357) = ( 942 x 357 ) / 112098

GCD(942, 357) = 336294 / 112098

GCD(942, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 714

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

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

GCD(3, 714) = 2142 / 714

GCD(3, 714) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 506

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

LCM(3, 506) = 1518

GCD(3, 506) = ( 3 x 506 ) / 1518

GCD(3, 506) = 1518 / 1518

GCD(3, 506) = 1

GCD of 942, 357, 714, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 460, 873, 924
• GCD of 359, 713, 243, 933
• GCD of 289, 256, 344, 408
• GCD of 169, 271, 954, 551
• GCD of 253, 598, 576, 612

1. What is the GCD of 942, 357, 714, 506?

GCD of 942, 357, 714, 506 is 1

2. Where do I get the detailed procedure to find GCD of 942, 357, 714, 506?

You can find a detailed procedure to find GCD of 942, 357, 714, 506 on our page.

3. How to find GCD of 942, 357, 714, 506 on a calculator?

You can find the GCD of 942, 357, 714, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.