GCD of 116, 320, 986, 758 Calculator

Given Input numbers are 116, 320, 986, 758

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

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 986 :

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

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (116, 320, 986, 758) = 2.

Given numbers are 116, 320, 986, 758

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 986 are 2 x 17 x 29

Prime factors of 758 are 2 x 379

The highest common occurrence is 2¹

Therefore, GCD of 116, 320, 986, 758 is 2.

Given numbers are 116, 320, 986, 758

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

Apply this formula for all numbers.

Step1:

LCM(116, 320) = 9280

GCD(116, 320) = ( 116 x 320 ) / 9280

= 116 / 320

= 116

Step2:

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

= 4 / 986

= 4

Step3:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

So, Greatest Common Divisor of 116, 320, 986, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 844, 694, 540
• GCD of 170, 205, 545, 635
• GCD of 771, 443, 652, 572
• GCD of 899, 582, 814, 605
• GCD of 803, 607, 181, 190

Given numbers are 116, 320, 986, 758
The greatest common divisor of numbers 116, 320, 986, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 320, 986, 758 is 2.

1. What is the GCD of 116, 320, 986, 758?

GCD of given numbers 116, 320, 986, 758 is 2

2. How to calculate the greatest common divisor of 116, 320, 986, 758?

We can find the highest common divisor of 116, 320, 986, 758 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 116, 320, 986, 758 i.e 2.

3. How can I use the GCD of 116, 320, 986, 758Calculator?

Out the numbers 116, 320, 986, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.