GCD of 636, 768, 315, 735 Calculator

Given Input numbers are 636, 768, 315, 735

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

GCD of numbers is the greatest common divisor

So, the GCD (636, 768, 315, 735) = 3.

Given numbers are 636, 768, 315, 735

The list of prime factors of all numbers are

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 315 are 3 x 3 x 5 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 636, 768, 315, 735 is 3.

Given numbers are 636, 768, 315, 735

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

Apply this formula for all numbers.

Step1:

LCM(636, 768) = 40704

GCD(636, 768) = ( 636 x 768 ) / 40704

= 636 / 768

= 636

Step2:

LCM(12, 315) = 1260

GCD(12, 315) = ( 12 x 315 ) / 1260

= 12 / 315

= 12

Step3:

LCM(3, 735) = 735

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

= 3 / 735

= 3

So, Greatest Common Divisor of 636, 768, 315, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 415, 788, 241
• GCD of 736, 654, 988, 461
• GCD of 164, 476, 440, 233
• GCD of 458, 345, 268, 756
• GCD of 223, 965, 618, 598

Given numbers are 636, 768, 315, 735
The greatest common divisor of numbers 636, 768, 315, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 768, 315, 735 is 3.

1. What is the GCD of 636, 768, 315, 735?

GCD of given numbers 636, 768, 315, 735 is 3

2. How to calculate the greatest common divisor of 636, 768, 315, 735?

We can find the highest common divisor of 636, 768, 315, 735 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 636, 768, 315, 735 i.e 3.

3. How can I use the GCD of 636, 768, 315, 735Calculator?

Out the numbers 636, 768, 315, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.