GCD of 714, 368, 42, 758 Calculator

Given Input numbers are 714, 368, 42, 758

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 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (714, 368, 42, 758) = 2.

Given numbers are 714, 368, 42, 758

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 42 are 2 x 3 x 7

Prime factors of 758 are 2 x 379

The highest common occurrence is 2¹

Therefore, GCD of 714, 368, 42, 758 is 2.

Given numbers are 714, 368, 42, 758

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, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

So, Greatest Common Divisor of 714, 368, 42, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 716, 36, 821
• GCD of 727, 138, 22, 943
• GCD of 505, 650, 16, 429
• GCD of 815, 485, 85, 930
• GCD of 157, 525, 90, 277

Given numbers are 714, 368, 42, 758
The greatest common divisor of numbers 714, 368, 42, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 368, 42, 758 is 2.

1. What is the GCD of 714, 368, 42, 758?

GCD of given numbers 714, 368, 42, 758 is 2

2. How to calculate the greatest common divisor of 714, 368, 42, 758?

We can find the highest common divisor of 714, 368, 42, 758 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, 42, 758 i.e 2.

3. How can I use the GCD of 714, 368, 42, 758Calculator?

Out the numbers 714, 368, 42, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.