GCD of 704, 636, 498, 252 Calculator

Given Input numbers are 704, 636, 498, 252

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 498 :

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

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

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 (704, 636, 498, 252) = 2.

Given numbers are 704, 636, 498, 252

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime factors of 498 are 2 x 3 x 83

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

The highest common occurrence is 2¹

Therefore, GCD of 704, 636, 498, 252 is 2.

Given numbers are 704, 636, 498, 252

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

Apply this formula for all numbers.

Step1:

LCM(704, 636) = 111936

GCD(704, 636) = ( 704 x 636 ) / 111936

= 704 / 636

= 704

Step2:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 704, 636, 498, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 215, 757, 542
• GCD of 119, 189, 996, 866
• GCD of 906, 919, 335, 252
• GCD of 184, 315, 945, 820
• GCD of 211, 805, 442, 762

Given numbers are 704, 636, 498, 252
The greatest common divisor of numbers 704, 636, 498, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 636, 498, 252 is 2.

1. What is the GCD of 704, 636, 498, 252?

GCD of given numbers 704, 636, 498, 252 is 2

2. How to calculate the greatest common divisor of 704, 636, 498, 252?

We can find the highest common divisor of 704, 636, 498, 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 704, 636, 498, 252 i.e 2.

3. How can I use the GCD of 704, 636, 498, 252Calculator?

Out the numbers 704, 636, 498, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.