GCD of 687, 474, 252 Calculator

Given Input numbers are 687, 474, 252

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (687, 474, 252) = 3.

Given numbers are 687, 474, 252

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 474 are 2 x 3 x 79

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 687, 474, 252 is 3.

Given numbers are 687, 474, 252

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

Apply this formula for all numbers.

Step1:

LCM(687, 474) = 108546

GCD(687, 474) = ( 687 x 474 ) / 108546

= 687 / 474

= 687

Step2:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

So, Greatest Common Divisor of 687, 474, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 768, 424
• GCD of 101, 197, 275
• GCD of 321, 842, 107
• GCD of 446, 898, 398
• GCD of 672, 954, 532

Given numbers are 687, 474, 252
The greatest common divisor of numbers 687, 474, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 474, 252 is 3.

1. What is the GCD of 687, 474, 252?

GCD of given numbers 687, 474, 252 is 3

2. How to calculate the greatest common divisor of 687, 474, 252?

We can find the highest common divisor of 687, 474, 252 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 687, 474, 252 i.e 3.

3. How can I use the GCD of 687, 474, 252Calculator?

Out the numbers 687, 474, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.