GCD of 514, 360, 80, 916 Calculator

Given Input numbers are 514, 360, 80, 916

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (514, 360, 80, 916) = 2.

Given numbers are 514, 360, 80, 916

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 514, 360, 80, 916 is 2.

Given numbers are 514, 360, 80, 916

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

Apply this formula for all numbers.

Step1:

LCM(514, 360) = 92520

GCD(514, 360) = ( 514 x 360 ) / 92520

= 514 / 360

= 514

Step2:

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

= 2 / 80

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 514, 360, 80, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 895, 15, 826
• GCD of 681, 177, 72, 707
• GCD of 205, 393, 10, 187
• GCD of 664, 884, 55, 692
• GCD of 368, 325, 69, 157

Given numbers are 514, 360, 80, 916
The greatest common divisor of numbers 514, 360, 80, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 360, 80, 916 is 2.

1. What is the GCD of 514, 360, 80, 916?

GCD of given numbers 514, 360, 80, 916 is 2

2. How to calculate the greatest common divisor of 514, 360, 80, 916?

We can find the highest common divisor of 514, 360, 80, 916 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 514, 360, 80, 916 i.e 2.

3. How can I use the GCD of 514, 360, 80, 916Calculator?

Out the numbers 514, 360, 80, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.