GCD of 986, 660, 784, 676 Calculator

Given Input numbers are 986, 660, 784, 676

In the factoring method, we have to find the divisors of all numbers

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (986, 660, 784, 676) = 2.

Given numbers are 986, 660, 784, 676

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 986, 660, 784, 676 is 2.

Given numbers are 986, 660, 784, 676

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

Apply this formula for all numbers.

Step1:

LCM(986, 660) = 325380

GCD(986, 660) = ( 986 x 660 ) / 325380

= 986 / 660

= 986

Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 986, 660, 784, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 192, 979, 930
• GCD of 423, 429, 204, 153
• GCD of 405, 288, 110, 331
• GCD of 543, 140, 558, 197
• GCD of 822, 848, 251, 461

Given numbers are 986, 660, 784, 676
The greatest common divisor of numbers 986, 660, 784, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 660, 784, 676 is 2.

1. What is the GCD of 986, 660, 784, 676?

GCD of given numbers 986, 660, 784, 676 is 2

2. How to calculate the greatest common divisor of 986, 660, 784, 676?

We can find the highest common divisor of 986, 660, 784, 676 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 986, 660, 784, 676 i.e 2.

3. How can I use the GCD of 986, 660, 784, 676Calculator?

Out the numbers 986, 660, 784, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.