GCD of 987, 147, 552, 500 Calculator

Given Input numbers are 987, 147, 552, 500

In the factoring method, we have to find the divisors of all numbers

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (987, 147, 552, 500) = 1.

Given numbers are 987, 147, 552, 500

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 147 are 3 x 7 x 7

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 987, 147, 552, 500

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(987, 147) = 6909

GCD(987, 147) = ( 987 x 147 ) / 6909

= 987 / 147

= 987

Step2:

LCM(21, 552) = 3864

GCD(21, 552) = ( 21 x 552 ) / 3864

= 21 / 552

= 21

Step3:

LCM(3, 500) = 1500

GCD(3, 500) = ( 3 x 500 ) / 1500

= 3 / 500

= 3

So, Greatest Common Divisor of 987, 147, 552, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 168, 711, 183
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• GCD of 864, 252, 728, 308
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Given numbers are 987, 147, 552, 500
The greatest common divisor of numbers 987, 147, 552, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 147, 552, 500 is 1.

1. What is the GCD of 987, 147, 552, 500?

GCD of given numbers 987, 147, 552, 500 is 1

2. How to calculate the greatest common divisor of 987, 147, 552, 500?

We can find the highest common divisor of 987, 147, 552, 500 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 987, 147, 552, 500 i.e 1.

3. How can I use the GCD of 987, 147, 552, 500Calculator?

Out the numbers 987, 147, 552, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.