GCD of 616, 468, 340, 714 Calculator

Given Input numbers are 616, 468, 340, 714

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (616, 468, 340, 714) = 2.

Given numbers are 616, 468, 340, 714

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 616, 468, 340, 714 is 2.

Given numbers are 616, 468, 340, 714

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

Apply this formula for all numbers.

Step1:

LCM(616, 468) = 72072

GCD(616, 468) = ( 616 x 468 ) / 72072

= 616 / 468

= 616

Step2:

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

= 4 / 340

= 4

Step3:

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

= 4 / 714

= 4

So, Greatest Common Divisor of 616, 468, 340, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 386, 569, 593
• GCD of 886, 258, 799, 502
• GCD of 771, 266, 873, 961
• GCD of 908, 415, 211, 808
• GCD of 739, 264, 512, 888

Given numbers are 616, 468, 340, 714
The greatest common divisor of numbers 616, 468, 340, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 468, 340, 714 is 2.

1. What is the GCD of 616, 468, 340, 714?

GCD of given numbers 616, 468, 340, 714 is 2

2. How to calculate the greatest common divisor of 616, 468, 340, 714?

We can find the highest common divisor of 616, 468, 340, 714 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 616, 468, 340, 714 i.e 2.

3. How can I use the GCD of 616, 468, 340, 714Calculator?

Out the numbers 616, 468, 340, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.