GCD of 495, 252, 63, 138 Calculator

Given Input numbers are 495, 252, 63, 138

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 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

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (495, 252, 63, 138) = 3.

Given numbers are 495, 252, 63, 138

The list of prime factors of all numbers are

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

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

Prime factors of 63 are 3 x 3 x 7

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 495, 252, 63, 138 is 3.

Given numbers are 495, 252, 63, 138

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

Apply this formula for all numbers.

Step1:

LCM(495, 252) = 13860

GCD(495, 252) = ( 495 x 252 ) / 13860

= 495 / 252

= 495

Step2:

LCM(9, 63) = 63

GCD(9, 63) = ( 9 x 63 ) / 63

= 9 / 63

= 9

Step3:

LCM(9, 138) = 414

GCD(9, 138) = ( 9 x 138 ) / 414

= 9 / 138

= 9

So, Greatest Common Divisor of 495, 252, 63, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 892, 70, 263
• GCD of 117, 996, 61, 455
• GCD of 363, 886, 58, 529
• GCD of 181, 526, 11, 154
• GCD of 860, 117, 28, 931

Given numbers are 495, 252, 63, 138
The greatest common divisor of numbers 495, 252, 63, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 252, 63, 138 is 3.

1. What is the GCD of 495, 252, 63, 138?

GCD of given numbers 495, 252, 63, 138 is 3

2. How to calculate the greatest common divisor of 495, 252, 63, 138?

We can find the highest common divisor of 495, 252, 63, 138 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, 252, 63, 138 i.e 3.

3. How can I use the GCD of 495, 252, 63, 138Calculator?

Out the numbers 495, 252, 63, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.