GCD of 312, 134, 743, 865 Calculator

Given Input numbers are 312, 134, 743, 865

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

GCD of numbers is the greatest common divisor

So, the GCD (312, 134, 743, 865) = 1.

Given numbers are 312, 134, 743, 865

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 134 are 2 x 67

Prime factors of 743 are 743

Prime factors of 865 are 5 x 173

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

Given numbers are 312, 134, 743, 865

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

Apply this formula for all numbers.

Step1:

LCM(312, 134) = 20904

GCD(312, 134) = ( 312 x 134 ) / 20904

= 312 / 134

= 312

Step2:

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

= 2 / 743

= 2

Step3:

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

= 1 / 865

= 1

So, Greatest Common Divisor of 312, 134, 743, 865 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 257, 586, 425
• GCD of 770, 218, 550, 875
• GCD of 385, 570, 917, 181
• GCD of 823, 727, 385, 156
• GCD of 441, 417, 355, 409

Given numbers are 312, 134, 743, 865
The greatest common divisor of numbers 312, 134, 743, 865 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 134, 743, 865 is 1.

1. What is the GCD of 312, 134, 743, 865?

GCD of given numbers 312, 134, 743, 865 is 1

2. How to calculate the greatest common divisor of 312, 134, 743, 865?

We can find the highest common divisor of 312, 134, 743, 865 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, 134, 743, 865 i.e 1.

3. How can I use the GCD of 312, 134, 743, 865Calculator?

Out the numbers 312, 134, 743, 865 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.