GCD of 704, 612, 252, 612 Calculator

Given Input numbers are 704, 612, 252, 612

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

GCD of numbers is the greatest common divisor

So, the GCD (704, 612, 252, 612) = 4.

Given numbers are 704, 612, 252, 612

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 612 are 2 x 2 x 3 x 3 x 17

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 2²

Therefore, GCD of 704, 612, 252, 612 is 4.

Given numbers are 704, 612, 252, 612

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

Apply this formula for all numbers.

Step1:

LCM(704, 612) = 107712

GCD(704, 612) = ( 704 x 612 ) / 107712

= 704 / 612

= 704

Step2:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4

Step3:

LCM(4, 612) = 612

GCD(4, 612) = ( 4 x 612 ) / 612

= 4 / 612

= 4

So, Greatest Common Divisor of 704, 612, 252, 612 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 202, 914, 852
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Given numbers are 704, 612, 252, 612
The greatest common divisor of numbers 704, 612, 252, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 612, 252, 612 is 4.

1. What is the GCD of 704, 612, 252, 612?

GCD of given numbers 704, 612, 252, 612 is 4

2. How to calculate the greatest common divisor of 704, 612, 252, 612?

We can find the highest common divisor of 704, 612, 252, 612 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, 612, 252, 612 i.e 4.

3. How can I use the GCD of 704, 612, 252, 612Calculator?

Out the numbers 704, 612, 252, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.