GCD of 312, 952, 604, 998 Calculator

Given Input numbers are 312, 952, 604, 998

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

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (312, 952, 604, 998) = 2.

Given numbers are 312, 952, 604, 998

The list of prime factors of all numbers are

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

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 604 are 2 x 2 x 151

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 312, 952, 604, 998 is 2.

Given numbers are 312, 952, 604, 998

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

Apply this formula for all numbers.

Step1:

LCM(312, 952) = 37128

GCD(312, 952) = ( 312 x 952 ) / 37128

= 312 / 952

= 312

Step2:

LCM(8, 604) = 1208

GCD(8, 604) = ( 8 x 604 ) / 1208

= 8 / 604

= 8

Step3:

LCM(4, 998) = 1996

GCD(4, 998) = ( 4 x 998 ) / 1996

= 4 / 998

= 4

So, Greatest Common Divisor of 312, 952, 604, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 628, 408, 308
• GCD of 374, 542, 540, 249
• GCD of 291, 482, 963, 775
• GCD of 487, 663, 237, 373
• GCD of 394, 527, 601, 916

Given numbers are 312, 952, 604, 998
The greatest common divisor of numbers 312, 952, 604, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 952, 604, 998 is 2.

1. What is the GCD of 312, 952, 604, 998?

GCD of given numbers 312, 952, 604, 998 is 2

2. How to calculate the greatest common divisor of 312, 952, 604, 998?

We can find the highest common divisor of 312, 952, 604, 998 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 312, 952, 604, 998 i.e 2.

3. How can I use the GCD of 312, 952, 604, 998Calculator?

Out the numbers 312, 952, 604, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.