GCD of 987, 542, 492, 500 Calculator

Given Input numbers are 987, 542, 492, 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 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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, 542, 492, 500) = 1.

Given numbers are 987, 542, 492, 500

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 542 are 2 x 271

Prime factors of 492 are 2 x 2 x 3 x 41

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, 542, 492, 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, 542) = 534954

GCD(987, 542) = ( 987 x 542 ) / 534954

= 987 / 542

= 987

Step2:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

So, Greatest Common Divisor of 987, 542, 492, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 501, 532, 975
• GCD of 255, 521, 573, 974
• GCD of 497, 284, 728, 971
• GCD of 326, 644, 418, 767
• GCD of 467, 790, 743, 563

Given numbers are 987, 542, 492, 500
The greatest common divisor of numbers 987, 542, 492, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 542, 492, 500 is 1.

1. What is the GCD of 987, 542, 492, 500?

GCD of given numbers 987, 542, 492, 500 is 1

2. How to calculate the greatest common divisor of 987, 542, 492, 500?

We can find the highest common divisor of 987, 542, 492, 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, 542, 492, 500 i.e 1.

3. How can I use the GCD of 987, 542, 492, 500Calculator?

Out the numbers 987, 542, 492, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.