GCD of 876, 316, 598, 272 Calculator

Given Input numbers are 876, 316, 598, 272

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 316 :

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

1, 2, 4, 79, 158, 316

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (876, 316, 598, 272) = 2.

Given numbers are 876, 316, 598, 272

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 316 are 2 x 2 x 79

Prime factors of 598 are 2 x 13 x 23

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 876, 316, 598, 272 is 2.

Given numbers are 876, 316, 598, 272

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

Apply this formula for all numbers.

Step1:

LCM(876, 316) = 69204

GCD(876, 316) = ( 876 x 316 ) / 69204

= 876 / 316

= 876

Step2:

LCM(4, 598) = 1196

GCD(4, 598) = ( 4 x 598 ) / 1196

= 4 / 598

= 4

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 876, 316, 598, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 950, 675, 284
• GCD of 752, 163, 811, 327
• GCD of 429, 914, 444, 172
• GCD of 849, 241, 781, 944
• GCD of 175, 103, 391, 482

Given numbers are 876, 316, 598, 272
The greatest common divisor of numbers 876, 316, 598, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 316, 598, 272 is 2.

1. What is the GCD of 876, 316, 598, 272?

GCD of given numbers 876, 316, 598, 272 is 2

2. How to calculate the greatest common divisor of 876, 316, 598, 272?

We can find the highest common divisor of 876, 316, 598, 272 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 876, 316, 598, 272 i.e 2.

3. How can I use the GCD of 876, 316, 598, 272Calculator?

Out the numbers 876, 316, 598, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.