GCD of 702, 304, 734, 312 Calculator

Given Input numbers are 702, 304, 734, 312

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

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 (702, 304, 734, 312) = 2.

Given numbers are 702, 304, 734, 312

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 734 are 2 x 367

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

The highest common occurrence is 2¹

Therefore, GCD of 702, 304, 734, 312 is 2.

Given numbers are 702, 304, 734, 312

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

Apply this formula for all numbers.

Step1:

LCM(702, 304) = 106704

GCD(702, 304) = ( 702 x 304 ) / 106704

= 702 / 304

= 702

Step2:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

Step3:

LCM(2, 312) = 312

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

= 2 / 312

= 2

So, Greatest Common Divisor of 702, 304, 734, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 105, 299, 694
• GCD of 731, 266, 250, 876
• GCD of 513, 293, 681, 647
• GCD of 145, 880, 524, 632
• GCD of 647, 999, 141, 456

Given numbers are 702, 304, 734, 312
The greatest common divisor of numbers 702, 304, 734, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 304, 734, 312 is 2.

1. What is the GCD of 702, 304, 734, 312?

GCD of given numbers 702, 304, 734, 312 is 2

2. How to calculate the greatest common divisor of 702, 304, 734, 312?

We can find the highest common divisor of 702, 304, 734, 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 702, 304, 734, 312 i.e 2.

3. How can I use the GCD of 702, 304, 734, 312Calculator?

Out the numbers 702, 304, 734, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.