GCD of 714, 368, 968, 342 Calculator

Given Input numbers are 714, 368, 968, 342

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

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (714, 368, 968, 342) = 2.

Given numbers are 714, 368, 968, 342

The list of prime factors of all numbers are

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

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 714, 368, 968, 342 is 2.

Given numbers are 714, 368, 968, 342

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

Apply this formula for all numbers.

Step1:

LCM(714, 368) = 131376

GCD(714, 368) = ( 714 x 368 ) / 131376

= 714 / 368

= 714

Step2:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 714, 368, 968, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 750, 233, 498
• GCD of 400, 976, 693, 943
• GCD of 724, 120, 541, 216
• GCD of 340, 124, 235, 587
• GCD of 138, 759, 865, 940

Given numbers are 714, 368, 968, 342
The greatest common divisor of numbers 714, 368, 968, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 368, 968, 342 is 2.

1. What is the GCD of 714, 368, 968, 342?

GCD of given numbers 714, 368, 968, 342 is 2

2. How to calculate the greatest common divisor of 714, 368, 968, 342?

We can find the highest common divisor of 714, 368, 968, 342 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 714, 368, 968, 342 i.e 2.

3. How can I use the GCD of 714, 368, 968, 342Calculator?

Out the numbers 714, 368, 968, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.