GCD of 340, 724, 14 Calculator

Given Input numbers are 340, 724, 14

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

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

GCD of numbers is the greatest common divisor

So, the GCD (340, 724, 14) = 2.

Given numbers are 340, 724, 14

The list of prime factors of all numbers are

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 14 are 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 340, 724, 14 is 2.

Given numbers are 340, 724, 14

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

Apply this formula for all numbers.

Step1:

LCM(340, 724) = 61540

GCD(340, 724) = ( 340 x 724 ) / 61540

= 340 / 724

= 340

Step2:

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

= 4 / 14

= 4

So, Greatest Common Divisor of 340, 724, 14 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 691, 97
• GCD of 704, 967, 37
• GCD of 249, 479, 62
• GCD of 818, 326, 25
• GCD of 465, 904, 89

Given numbers are 340, 724, 14
The greatest common divisor of numbers 340, 724, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 724, 14 is 2.

1. What is the GCD of 340, 724, 14?

GCD of given numbers 340, 724, 14 is 2

2. How to calculate the greatest common divisor of 340, 724, 14?

We can find the highest common divisor of 340, 724, 14 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 340, 724, 14 i.e 2.

3. How can I use the GCD of 340, 724, 14Calculator?

Out the numbers 340, 724, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.