GCD of 495, 681, 987, 252 Calculator

Given Input numbers are 495, 681, 987, 252

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 987 :

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

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

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 (495, 681, 987, 252) = 3.

Given numbers are 495, 681, 987, 252

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 681 are 3 x 227

Prime factors of 987 are 3 x 7 x 47

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

The highest common occurrence is 3¹

Therefore, GCD of 495, 681, 987, 252 is 3.

Given numbers are 495, 681, 987, 252

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

Apply this formula for all numbers.

Step1:

LCM(495, 681) = 112365

GCD(495, 681) = ( 495 x 681 ) / 112365

= 495 / 681

= 495

Step2:

LCM(3, 987) = 987

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

= 3 / 987

= 3

Step3:

LCM(3, 252) = 252

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

= 3 / 252

= 3

So, Greatest Common Divisor of 495, 681, 987, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 243, 732, 580
• GCD of 156, 894, 434, 102
• GCD of 578, 595, 886, 405
• GCD of 580, 611, 203, 605
• GCD of 489, 491, 888, 289

Given numbers are 495, 681, 987, 252
The greatest common divisor of numbers 495, 681, 987, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 681, 987, 252 is 3.

1. What is the GCD of 495, 681, 987, 252?

GCD of given numbers 495, 681, 987, 252 is 3

2. How to calculate the greatest common divisor of 495, 681, 987, 252?

We can find the highest common divisor of 495, 681, 987, 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 495, 681, 987, 252 i.e 3.

3. How can I use the GCD of 495, 681, 987, 252Calculator?

Out the numbers 495, 681, 987, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.