GCD of 680, 582, 698, 218 Calculator

Given Input numbers are 680, 582, 698, 218

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 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (680, 582, 698, 218) = 2.

Given numbers are 680, 582, 698, 218

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 582 are 2 x 3 x 97

Prime factors of 698 are 2 x 349

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 680, 582, 698, 218 is 2.

Given numbers are 680, 582, 698, 218

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

Apply this formula for all numbers.

Step1:

LCM(680, 582) = 197880

GCD(680, 582) = ( 680 x 582 ) / 197880

= 680 / 582

= 680

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 680, 582, 698, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 379, 252, 965
• GCD of 821, 553, 524, 962
• GCD of 591, 573, 692, 226
• GCD of 764, 176, 352, 896
• GCD of 971, 463, 990, 286

Given numbers are 680, 582, 698, 218
The greatest common divisor of numbers 680, 582, 698, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 582, 698, 218 is 2.

1. What is the GCD of 680, 582, 698, 218?

GCD of given numbers 680, 582, 698, 218 is 2

2. How to calculate the greatest common divisor of 680, 582, 698, 218?

We can find the highest common divisor of 680, 582, 698, 218 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, 582, 698, 218 i.e 2.

3. How can I use the GCD of 680, 582, 698, 218Calculator?

Out the numbers 680, 582, 698, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.