GCD of 680, 986, 104, 354 Calculator

Given Input numbers are 680, 986, 104, 354

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (680, 986, 104, 354) = 2.

Given numbers are 680, 986, 104, 354

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 986 are 2 x 17 x 29

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 680, 986, 104, 354 is 2.

Given numbers are 680, 986, 104, 354

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

Apply this formula for all numbers.

Step1:

LCM(680, 986) = 19720

GCD(680, 986) = ( 680 x 986 ) / 19720

= 680 / 986

= 680

Step2:

LCM(34, 104) = 1768

GCD(34, 104) = ( 34 x 104 ) / 1768

= 34 / 104

= 34

Step3:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 680, 986, 104, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 188, 193, 822
• GCD of 470, 603, 937, 119
• GCD of 952, 110, 104, 483
• GCD of 426, 191, 970, 336
• GCD of 344, 631, 164, 896

Given numbers are 680, 986, 104, 354
The greatest common divisor of numbers 680, 986, 104, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 986, 104, 354 is 2.

1. What is the GCD of 680, 986, 104, 354?

GCD of given numbers 680, 986, 104, 354 is 2

2. How to calculate the greatest common divisor of 680, 986, 104, 354?

We can find the highest common divisor of 680, 986, 104, 354 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, 986, 104, 354 i.e 2.

3. How can I use the GCD of 680, 986, 104, 354Calculator?

Out the numbers 680, 986, 104, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.