GCD of 680, 364, 220, 686 Calculator

Given Input numbers are 680, 364, 220, 686

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (680, 364, 220, 686) = 2.

Given numbers are 680, 364, 220, 686

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 364 are 2 x 2 x 7 x 13

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 680, 364, 220, 686 is 2.

Given numbers are 680, 364, 220, 686

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

Apply this formula for all numbers.

Step1:

LCM(680, 364) = 61880

GCD(680, 364) = ( 680 x 364 ) / 61880

= 680 / 364

= 680

Step2:

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

= 4 / 220

= 4

Step3:

LCM(4, 686) = 1372

GCD(4, 686) = ( 4 x 686 ) / 1372

= 4 / 686

= 4

So, Greatest Common Divisor of 680, 364, 220, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 257, 844, 823
• GCD of 158, 229, 715, 668
• GCD of 496, 457, 976, 984
• GCD of 106, 975, 966, 261
• GCD of 844, 592, 758, 249

Given numbers are 680, 364, 220, 686
The greatest common divisor of numbers 680, 364, 220, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 364, 220, 686 is 2.

1. What is the GCD of 680, 364, 220, 686?

GCD of given numbers 680, 364, 220, 686 is 2

2. How to calculate the greatest common divisor of 680, 364, 220, 686?

We can find the highest common divisor of 680, 364, 220, 686 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, 364, 220, 686 i.e 2.

3. How can I use the GCD of 680, 364, 220, 686Calculator?

Out the numbers 680, 364, 220, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.