GCD of 35, 532, 520, 987 Calculator

Given Input numbers are 35, 532, 520, 987

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 35, 532, 520, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 532, 520, 987 is 1.

Therefore, GCD of numbers 35, 532, 520, 987 is 1

Given Input Data is 35, 532, 520, 987

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 987 is 3 x 7 x 47

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(35, 532) = 2660

GCD(35, 532) = ( 35 x 532 ) / 2660

GCD(35, 532) = 18620 / 2660

GCD(35, 532) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 520

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

LCM(7, 520) = 3640

GCD(7, 520) = ( 7 x 520 ) / 3640

GCD(7, 520) = 3640 / 3640

GCD(7, 520) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 35, 532, 520, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 535, 872, 679
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• GCD of 19, 831, 204, 296
• GCD of 34, 977, 113, 493
• GCD of 32, 973, 285, 308

1. What is the GCD of 35, 532, 520, 987?

GCD of 35, 532, 520, 987 is 1

2. Where do I get the detailed procedure to find GCD of 35, 532, 520, 987?

You can find a detailed procedure to find GCD of 35, 532, 520, 987 on our page.

3. How to find GCD of 35, 532, 520, 987 on a calculator?

You can find the GCD of 35, 532, 520, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.