GCD of 680, 697, 706, 116 Calculator

Given Input numbers are 680, 697, 706, 116

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 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (680, 697, 706, 116) = 1.

Given numbers are 680, 697, 706, 116

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 697 are 17 x 41

Prime factors of 706 are 2 x 353

Prime factors of 116 are 2 x 2 x 29

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

Given numbers are 680, 697, 706, 116

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

Apply this formula for all numbers.

Step1:

LCM(680, 697) = 27880

GCD(680, 697) = ( 680 x 697 ) / 27880

= 680 / 697

= 680

Step2:

LCM(17, 706) = 12002

GCD(17, 706) = ( 17 x 706 ) / 12002

= 17 / 706

= 17

Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

So, Greatest Common Divisor of 680, 697, 706, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 241, 911, 626
• GCD of 256, 879, 292, 497
• GCD of 782, 542, 605, 222
• GCD of 943, 384, 606, 774
• GCD of 299, 317, 505, 968

Given numbers are 680, 697, 706, 116
The greatest common divisor of numbers 680, 697, 706, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 697, 706, 116 is 1.

1. What is the GCD of 680, 697, 706, 116?

GCD of given numbers 680, 697, 706, 116 is 1

2. How to calculate the greatest common divisor of 680, 697, 706, 116?

We can find the highest common divisor of 680, 697, 706, 116 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, 697, 706, 116 i.e 1.

3. How can I use the GCD of 680, 697, 706, 116Calculator?

Out the numbers 680, 697, 706, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.