GCD of 680, 116, 30, 713 Calculator

Given Input numbers are 680, 116, 30, 713

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

GCD of numbers is the greatest common divisor

So, the GCD (680, 116, 30, 713) = 1.

Given numbers are 680, 116, 30, 713

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 116 are 2 x 2 x 29

Prime factors of 30 are 2 x 3 x 5

Prime factors of 713 are 23 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 680, 116, 30, 713

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

Apply this formula for all numbers.

Step1:

LCM(680, 116) = 19720

GCD(680, 116) = ( 680 x 116 ) / 19720

= 680 / 116

= 680

Step2:

LCM(4, 30) = 60

GCD(4, 30) = ( 4 x 30 ) / 60

= 4 / 30

= 4

Step3:

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

= 2 / 713

= 2

So, Greatest Common Divisor of 680, 116, 30, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 149, 86, 193
• GCD of 437, 612, 98, 713
• GCD of 787, 536, 38, 102
• GCD of 200, 680, 10, 761
• GCD of 446, 867, 36, 771

Given numbers are 680, 116, 30, 713
The greatest common divisor of numbers 680, 116, 30, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 116, 30, 713 is 1.

1. What is the GCD of 680, 116, 30, 713?

GCD of given numbers 680, 116, 30, 713 is 1

2. How to calculate the greatest common divisor of 680, 116, 30, 713?

We can find the highest common divisor of 680, 116, 30, 713 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 680, 116, 30, 713 i.e 1.

3. How can I use the GCD of 680, 116, 30, 713Calculator?

Out the numbers 680, 116, 30, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.