GCD of 680, 694, 860, 384 Calculator

Given Input numbers are 680, 694, 860, 384

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (680, 694, 860, 384) = 2.

Given numbers are 680, 694, 860, 384

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 694 are 2 x 347

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 680, 694, 860, 384 is 2.

Given numbers are 680, 694, 860, 384

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

Apply this formula for all numbers.

Step1:

LCM(680, 694) = 235960

GCD(680, 694) = ( 680 x 694 ) / 235960

= 680 / 694

= 680

Step2:

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

= 2 / 860

= 2

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 680, 694, 860, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 848, 580, 819
• GCD of 115, 302, 713, 139
• GCD of 889, 464, 969, 885
• GCD of 686, 287, 860, 905
• GCD of 365, 916, 742, 917

Given numbers are 680, 694, 860, 384
The greatest common divisor of numbers 680, 694, 860, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 694, 860, 384 is 2.

1. What is the GCD of 680, 694, 860, 384?

GCD of given numbers 680, 694, 860, 384 is 2

2. How to calculate the greatest common divisor of 680, 694, 860, 384?

We can find the highest common divisor of 680, 694, 860, 384 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, 694, 860, 384 i.e 2.

3. How can I use the GCD of 680, 694, 860, 384Calculator?

Out the numbers 680, 694, 860, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.