GCD of 986, 687, 755, 116 Calculator

Given Input numbers are 986, 687, 755, 116

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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (986, 687, 755, 116) = 1.

Given numbers are 986, 687, 755, 116

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 687 are 3 x 229

Prime factors of 755 are 5 x 151

Prime factors of 116 are 2 x 2 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 986, 687, 755, 116

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

Apply this formula for all numbers.

Step1:

LCM(986, 687) = 677382

GCD(986, 687) = ( 986 x 687 ) / 677382

= 986 / 687

= 986

Step2:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1

Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

So, Greatest Common Divisor of 986, 687, 755, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 577, 625, 706
• GCD of 336, 699, 204, 911
• GCD of 172, 411, 454, 658
• GCD of 187, 577, 595, 245
• GCD of 814, 595, 394, 112

Given numbers are 986, 687, 755, 116
The greatest common divisor of numbers 986, 687, 755, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 687, 755, 116 is 1.

1. What is the GCD of 986, 687, 755, 116?

GCD of given numbers 986, 687, 755, 116 is 1

2. How to calculate the greatest common divisor of 986, 687, 755, 116?

We can find the highest common divisor of 986, 687, 755, 116 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, 687, 755, 116 i.e 1.

3. How can I use the GCD of 986, 687, 755, 116Calculator?

Out the numbers 986, 687, 755, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.