GCD of 598, 708, 72, 312 Calculator

Given Input numbers are 598, 708, 72, 312

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (598, 708, 72, 312) = 2.

Given numbers are 598, 708, 72, 312

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 598, 708, 72, 312 is 2.

Given numbers are 598, 708, 72, 312

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

Apply this formula for all numbers.

Step1:

LCM(598, 708) = 211692

GCD(598, 708) = ( 598 x 708 ) / 211692

= 598 / 708

= 598

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 598, 708, 72, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 389, 45, 976
• GCD of 649, 857, 43, 128
• GCD of 403, 884, 70, 637
• GCD of 687, 973, 80, 865
• GCD of 548, 343, 27, 769

Given numbers are 598, 708, 72, 312
The greatest common divisor of numbers 598, 708, 72, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 708, 72, 312 is 2.

1. What is the GCD of 598, 708, 72, 312?

GCD of given numbers 598, 708, 72, 312 is 2

2. How to calculate the greatest common divisor of 598, 708, 72, 312?

We can find the highest common divisor of 598, 708, 72, 312 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 598, 708, 72, 312 i.e 2.

3. How can I use the GCD of 598, 708, 72, 312Calculator?

Out the numbers 598, 708, 72, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.