GCD of 872, 134, 912, 616 Calculator

Given Input numbers are 872, 134, 912, 616

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (872, 134, 912, 616) = 2.

Given numbers are 872, 134, 912, 616

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 134 are 2 x 67

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 872, 134, 912, 616 is 2.

Given numbers are 872, 134, 912, 616

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

Apply this formula for all numbers.

Step1:

LCM(872, 134) = 58424

GCD(872, 134) = ( 872 x 134 ) / 58424

= 872 / 134

= 872

Step2:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2

Step3:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

So, Greatest Common Divisor of 872, 134, 912, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 978, 997, 564
• GCD of 924, 551, 178, 984
• GCD of 462, 460, 549, 391
• GCD of 751, 732, 232, 393
• GCD of 305, 323, 630, 321

Given numbers are 872, 134, 912, 616
The greatest common divisor of numbers 872, 134, 912, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 134, 912, 616 is 2.

1. What is the GCD of 872, 134, 912, 616?

GCD of given numbers 872, 134, 912, 616 is 2

2. How to calculate the greatest common divisor of 872, 134, 912, 616?

We can find the highest common divisor of 872, 134, 912, 616 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 872, 134, 912, 616 i.e 2.

3. How can I use the GCD of 872, 134, 912, 616Calculator?

Out the numbers 872, 134, 912, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.