GCD of 252, 255, 735, 498 Calculator

Given Input numbers are 252, 255, 735, 498

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

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 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (252, 255, 735, 498) = 3.

Given numbers are 252, 255, 735, 498

The list of prime factors of all numbers are

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

Prime factors of 255 are 3 x 5 x 17

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 252, 255, 735, 498 is 3.

Given numbers are 252, 255, 735, 498

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

Apply this formula for all numbers.

Step1:

LCM(252, 255) = 21420

GCD(252, 255) = ( 252 x 255 ) / 21420

= 252 / 255

= 252

Step2:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

Step3:

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

= 3 / 498

= 3

So, Greatest Common Divisor of 252, 255, 735, 498 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 871, 218, 967
• GCD of 347, 399, 233, 850
• GCD of 982, 530, 893, 414
• GCD of 858, 444, 642, 838
• GCD of 582, 264, 309, 979

Given numbers are 252, 255, 735, 498
The greatest common divisor of numbers 252, 255, 735, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 255, 735, 498 is 3.

1. What is the GCD of 252, 255, 735, 498?

GCD of given numbers 252, 255, 735, 498 is 3

2. How to calculate the greatest common divisor of 252, 255, 735, 498?

We can find the highest common divisor of 252, 255, 735, 498 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 252, 255, 735, 498 i.e 3.

3. How can I use the GCD of 252, 255, 735, 498Calculator?

Out the numbers 252, 255, 735, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.