GCD of 680, 466, 758, 108 Calculator

Given Input numbers are 680, 466, 758, 108

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 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 758 :

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

1, 2, 379, 758

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (680, 466, 758, 108) = 2.

Given numbers are 680, 466, 758, 108

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 466 are 2 x 233

Prime factors of 758 are 2 x 379

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 680, 466, 758, 108 is 2.

Given numbers are 680, 466, 758, 108

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

Apply this formula for all numbers.

Step1:

LCM(680, 466) = 158440

GCD(680, 466) = ( 680 x 466 ) / 158440

= 680 / 466

= 680

Step2:

LCM(2, 758) = 758

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

= 2 / 758

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 680, 466, 758, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 280, 369, 210
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• GCD of 634, 329, 854, 901
• GCD of 279, 707, 582, 613
• GCD of 529, 303, 852, 125

Given numbers are 680, 466, 758, 108
The greatest common divisor of numbers 680, 466, 758, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 466, 758, 108 is 2.

1. What is the GCD of 680, 466, 758, 108?

GCD of given numbers 680, 466, 758, 108 is 2

2. How to calculate the greatest common divisor of 680, 466, 758, 108?

We can find the highest common divisor of 680, 466, 758, 108 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, 466, 758, 108 i.e 2.

3. How can I use the GCD of 680, 466, 758, 108Calculator?

Out the numbers 680, 466, 758, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.