GCD of 680, 432, 916, 506 Calculator

Given Input numbers are 680, 432, 916, 506

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (680, 432, 916, 506) = 2.

Given numbers are 680, 432, 916, 506

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 916 are 2 x 2 x 229

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 680, 432, 916, 506 is 2.

Given numbers are 680, 432, 916, 506

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

Apply this formula for all numbers.

Step1:

LCM(680, 432) = 36720

GCD(680, 432) = ( 680 x 432 ) / 36720

= 680 / 432

= 680

Step2:

LCM(8, 916) = 1832

GCD(8, 916) = ( 8 x 916 ) / 1832

= 8 / 916

= 8

Step3:

LCM(4, 506) = 1012

GCD(4, 506) = ( 4 x 506 ) / 1012

= 4 / 506

= 4

So, Greatest Common Divisor of 680, 432, 916, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 839, 446, 308
• GCD of 945, 163, 547, 720
• GCD of 555, 464, 264, 753
• GCD of 183, 475, 662, 139
• GCD of 674, 436, 400, 545

Given numbers are 680, 432, 916, 506
The greatest common divisor of numbers 680, 432, 916, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 432, 916, 506 is 2.

1. What is the GCD of 680, 432, 916, 506?

GCD of given numbers 680, 432, 916, 506 is 2

2. How to calculate the greatest common divisor of 680, 432, 916, 506?

We can find the highest common divisor of 680, 432, 916, 506 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 680, 432, 916, 506 i.e 2.

3. How can I use the GCD of 680, 432, 916, 506Calculator?

Out the numbers 680, 432, 916, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.