GCD of 987, 490, 252, 707 Calculator

Given Input numbers are 987, 490, 252, 707

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

Divisors of 987

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

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 987, 490, 252, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 490, 252, 707 is 7.

Therefore, GCD of numbers 987, 490, 252, 707 is 7

Given Input Data is 987, 490, 252, 707

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 707 is 7 x 101

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(987, 490) = 69090

GCD(987, 490) = ( 987 x 490 ) / 69090

GCD(987, 490) = 483630 / 69090

GCD(987, 490) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 252

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

LCM(7, 252) = 252

GCD(7, 252) = ( 7 x 252 ) / 252

GCD(7, 252) = 1764 / 252

GCD(7, 252) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 707

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

LCM(7, 707) = 707

GCD(7, 707) = ( 7 x 707 ) / 707

GCD(7, 707) = 4949 / 707

GCD(7, 707) = 7

GCD of 987, 490, 252, 707 is 7

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• GCD of 467, 947, 356, 342
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• GCD of 280, 447, 327, 376

1. What is the GCD of 987, 490, 252, 707?

GCD of 987, 490, 252, 707 is 7

2. Where do I get the detailed procedure to find GCD of 987, 490, 252, 707?

You can find a detailed procedure to find GCD of 987, 490, 252, 707 on our page.

3. How to find GCD of 987, 490, 252, 707 on a calculator?

You can find the GCD of 987, 490, 252, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.