GCD of 912, 148, 756, 464 Calculator

Given Input numbers are 912, 148, 756, 464

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (912, 148, 756, 464) = 4.

Given numbers are 912, 148, 756, 464

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 148 are 2 x 2 x 37

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 912, 148, 756, 464 is 4.

Given numbers are 912, 148, 756, 464

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

Apply this formula for all numbers.

Step1:

LCM(912, 148) = 33744

GCD(912, 148) = ( 912 x 148 ) / 33744

= 912 / 148

= 912

Step2:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4

Step3:

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

= 4 / 464

= 4

So, Greatest Common Divisor of 912, 148, 756, 464 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 857, 175, 554
• GCD of 937, 460, 402, 562
• GCD of 729, 252, 199, 451
• GCD of 801, 404, 612, 605
• GCD of 862, 510, 484, 494

Given numbers are 912, 148, 756, 464
The greatest common divisor of numbers 912, 148, 756, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 148, 756, 464 is 4.

1. What is the GCD of 912, 148, 756, 464?

GCD of given numbers 912, 148, 756, 464 is 4

2. How to calculate the greatest common divisor of 912, 148, 756, 464?

We can find the highest common divisor of 912, 148, 756, 464 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 912, 148, 756, 464 i.e 4.

3. How can I use the GCD of 912, 148, 756, 464Calculator?

Out the numbers 912, 148, 756, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.