GCD of 986, 166, 780, 688 Calculator

Given Input numbers are 986, 166, 780, 688

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 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (986, 166, 780, 688) = 2.

Given numbers are 986, 166, 780, 688

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 166 are 2 x 83

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 986, 166, 780, 688 is 2.

Given numbers are 986, 166, 780, 688

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

Apply this formula for all numbers.

Step1:

LCM(986, 166) = 81838

GCD(986, 166) = ( 986 x 166 ) / 81838

= 986 / 166

= 986

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 986, 166, 780, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 546, 872, 674
• GCD of 338, 845, 695, 151
• GCD of 905, 407, 403, 474
• GCD of 277, 842, 878, 361
• GCD of 247, 289, 138, 174

Given numbers are 986, 166, 780, 688
The greatest common divisor of numbers 986, 166, 780, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 166, 780, 688 is 2.

1. What is the GCD of 986, 166, 780, 688?

GCD of given numbers 986, 166, 780, 688 is 2

2. How to calculate the greatest common divisor of 986, 166, 780, 688?

We can find the highest common divisor of 986, 166, 780, 688 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, 166, 780, 688 i.e 2.

3. How can I use the GCD of 986, 166, 780, 688Calculator?

Out the numbers 986, 166, 780, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.