GCD of 889, 357, 42, 987 Calculator

Given Input numbers are 889, 357, 42, 987

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 889, 357, 42, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 357, 42, 987 is 7.

Therefore, GCD of numbers 889, 357, 42, 987 is 7

Given Input Data is 889, 357, 42, 987

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 987 is 3 x 7 x 47

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(889, 357) = 45339

GCD(889, 357) = ( 889 x 357 ) / 45339

GCD(889, 357) = 317373 / 45339

GCD(889, 357) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 42

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

LCM(7, 42) = 42

GCD(7, 42) = ( 7 x 42 ) / 42

GCD(7, 42) = 294 / 42

GCD(7, 42) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 987

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

LCM(7, 987) = 987

GCD(7, 987) = ( 7 x 987 ) / 987

GCD(7, 987) = 6909 / 987

GCD(7, 987) = 7

GCD of 889, 357, 42, 987 is 7

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• GCD of 353, 925, 97, 499
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• GCD of 413, 211, 20, 661

1. What is the GCD of 889, 357, 42, 987?

GCD of 889, 357, 42, 987 is 7

2. Where do I get the detailed procedure to find GCD of 889, 357, 42, 987?

You can find a detailed procedure to find GCD of 889, 357, 42, 987 on our page.

3. How to find GCD of 889, 357, 42, 987 on a calculator?

You can find the GCD of 889, 357, 42, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.