GCD of 736, 682, 312 Calculator

Given Input numbers are 736, 682, 312

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

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 (736, 682, 312) = 2.

Given numbers are 736, 682, 312

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 682 are 2 x 11 x 31

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

The highest common occurrence is 2¹

Therefore, GCD of 736, 682, 312 is 2.

Given numbers are 736, 682, 312

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

Apply this formula for all numbers.

Step1:

LCM(736, 682) = 250976

GCD(736, 682) = ( 736 x 682 ) / 250976

= 736 / 682

= 736

Step2:

LCM(2, 312) = 312

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

= 2 / 312

= 2

So, Greatest Common Divisor of 736, 682, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 776, 904
• GCD of 902, 630, 241
• GCD of 585, 147, 219
• GCD of 369, 617, 100
• GCD of 802, 441, 333

Given numbers are 736, 682, 312
The greatest common divisor of numbers 736, 682, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 682, 312 is 2.

1. What is the GCD of 736, 682, 312?

GCD of given numbers 736, 682, 312 is 2

2. How to calculate the greatest common divisor of 736, 682, 312?

We can find the highest common divisor of 736, 682, 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 736, 682, 312 i.e 2.

3. How can I use the GCD of 736, 682, 312Calculator?

Out the numbers 736, 682, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.