GCD of 316, 104, 760, 102 Calculator

Given Input numbers are 316, 104, 760, 102

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (316, 104, 760, 102) = 2.

Given numbers are 316, 104, 760, 102

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 316, 104, 760, 102 is 2.

Given numbers are 316, 104, 760, 102

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

Apply this formula for all numbers.

Step1:

LCM(316, 104) = 8216

GCD(316, 104) = ( 316 x 104 ) / 8216

= 316 / 104

= 316

Step2:

LCM(4, 760) = 760

GCD(4, 760) = ( 4 x 760 ) / 760

= 4 / 760

= 4

Step3:

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

= 4 / 102

= 4

So, Greatest Common Divisor of 316, 104, 760, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 484, 876, 658
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Given numbers are 316, 104, 760, 102
The greatest common divisor of numbers 316, 104, 760, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 104, 760, 102 is 2.

1. What is the GCD of 316, 104, 760, 102?

GCD of given numbers 316, 104, 760, 102 is 2

2. How to calculate the greatest common divisor of 316, 104, 760, 102?

We can find the highest common divisor of 316, 104, 760, 102 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 316, 104, 760, 102 i.e 2.

3. How can I use the GCD of 316, 104, 760, 102Calculator?

Out the numbers 316, 104, 760, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.