GCD of 296, 216, 698, 872 Calculator

Given Input numbers are 296, 216, 698, 872

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 872 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (296, 216, 698, 872) = 2.

Given numbers are 296, 216, 698, 872

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 698 are 2 x 349

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

The highest common occurrence is 2¹

Therefore, GCD of 296, 216, 698, 872 is 2.

Given numbers are 296, 216, 698, 872

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

Apply this formula for all numbers.

Step1:

LCM(296, 216) = 7992

GCD(296, 216) = ( 296 x 216 ) / 7992

= 296 / 216

= 296

Step2:

LCM(8, 698) = 2792

GCD(8, 698) = ( 8 x 698 ) / 2792

= 8 / 698

= 8

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 296, 216, 698, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 140, 753, 990
• GCD of 927, 193, 421, 315
• GCD of 872, 116, 244, 724
• GCD of 195, 975, 956, 155
• GCD of 595, 840, 535, 295

Given numbers are 296, 216, 698, 872
The greatest common divisor of numbers 296, 216, 698, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 216, 698, 872 is 2.

1. What is the GCD of 296, 216, 698, 872?

GCD of given numbers 296, 216, 698, 872 is 2

2. How to calculate the greatest common divisor of 296, 216, 698, 872?

We can find the highest common divisor of 296, 216, 698, 872 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 296, 216, 698, 872 i.e 2.

3. How can I use the GCD of 296, 216, 698, 872Calculator?

Out the numbers 296, 216, 698, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.