GCD of 987, 879, 543 Calculator

Given Input numbers are 987, 879, 543

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 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (987, 879, 543) = 3.

Given numbers are 987, 879, 543

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 879 are 3 x 293

Prime factors of 543 are 3 x 181

The highest common occurrence is 3¹

Therefore, GCD of 987, 879, 543 is 3.

Given numbers are 987, 879, 543

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

Apply this formula for all numbers.

Step1:

LCM(987, 879) = 289191

GCD(987, 879) = ( 987 x 879 ) / 289191

= 987 / 879

= 987

Step2:

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

= 3 / 543

= 3

So, Greatest Common Divisor of 987, 879, 543 is 3

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Given numbers are 987, 879, 543
The greatest common divisor of numbers 987, 879, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 879, 543 is 3.

1. What is the GCD of 987, 879, 543?

GCD of given numbers 987, 879, 543 is 3

2. How to calculate the greatest common divisor of 987, 879, 543?

We can find the highest common divisor of 987, 879, 543 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, 879, 543 i.e 3.

3. How can I use the GCD of 987, 879, 543Calculator?

Out the numbers 987, 879, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.