GCD of 680, 492, 638, 340 Calculator

Given Input numbers are 680, 492, 638, 340

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

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

GCD of numbers is the greatest common divisor

So, the GCD (680, 492, 638, 340) = 2.

Given numbers are 680, 492, 638, 340

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 492 are 2 x 2 x 3 x 41

Prime factors of 638 are 2 x 11 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 680, 492, 638, 340 is 2.

Given numbers are 680, 492, 638, 340

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

Apply this formula for all numbers.

Step1:

LCM(680, 492) = 83640

GCD(680, 492) = ( 680 x 492 ) / 83640

= 680 / 492

= 680

Step2:

LCM(4, 638) = 1276

GCD(4, 638) = ( 4 x 638 ) / 1276

= 4 / 638

= 4

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 680, 492, 638, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 495, 940, 938
• GCD of 856, 282, 812, 716
• GCD of 383, 123, 718, 199
• GCD of 279, 150, 846, 356
• GCD of 465, 160, 133, 715

Given numbers are 680, 492, 638, 340
The greatest common divisor of numbers 680, 492, 638, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 492, 638, 340 is 2.

1. What is the GCD of 680, 492, 638, 340?

GCD of given numbers 680, 492, 638, 340 is 2

2. How to calculate the greatest common divisor of 680, 492, 638, 340?

We can find the highest common divisor of 680, 492, 638, 340 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, 492, 638, 340 i.e 2.

3. How can I use the GCD of 680, 492, 638, 340Calculator?

Out the numbers 680, 492, 638, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.