GCD of 312, 952, 705, 728 Calculator

Given Input numbers are 312, 952, 705, 728

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (312, 952, 705, 728) = 1.

Given numbers are 312, 952, 705, 728

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 705 are 3 x 5 x 47

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 312, 952, 705, 728

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, 705) = 5640

GCD(8, 705) = ( 8 x 705 ) / 5640

= 8 / 705

= 8

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 312, 952, 705, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 237, 495, 374
• GCD of 254, 584, 651, 770
• GCD of 490, 620, 341, 113
• GCD of 835, 571, 987, 962
• GCD of 925, 179, 335, 333

Given numbers are 312, 952, 705, 728
The greatest common divisor of numbers 312, 952, 705, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 952, 705, 728 is 1.

1. What is the GCD of 312, 952, 705, 728?

GCD of given numbers 312, 952, 705, 728 is 1

2. How to calculate the greatest common divisor of 312, 952, 705, 728?

We can find the highest common divisor of 312, 952, 705, 728 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, 705, 728 i.e 1.

3. How can I use the GCD of 312, 952, 705, 728Calculator?

Out the numbers 312, 952, 705, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.