GCD of 375, 423, 987 Calculator

Given Input numbers are 375, 423, 987

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 987 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (375, 423, 987) = 3.

Given numbers are 375, 423, 987

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 423 are 3 x 3 x 47

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 3¹

Therefore, GCD of 375, 423, 987 is 3.

Given numbers are 375, 423, 987

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

Apply this formula for all numbers.

Step1:

LCM(375, 423) = 52875

GCD(375, 423) = ( 375 x 423 ) / 52875

= 375 / 423

= 375

Step2:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

So, Greatest Common Divisor of 375, 423, 987 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 887, 259
• GCD of 695, 697, 129
• GCD of 905, 389, 435
• GCD of 957, 212, 106
• GCD of 941, 809, 322

Given numbers are 375, 423, 987
The greatest common divisor of numbers 375, 423, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 423, 987 is 3.

1. What is the GCD of 375, 423, 987?

GCD of given numbers 375, 423, 987 is 3

2. How to calculate the greatest common divisor of 375, 423, 987?

We can find the highest common divisor of 375, 423, 987 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 375, 423, 987 i.e 3.

3. How can I use the GCD of 375, 423, 987Calculator?

Out the numbers 375, 423, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.