GCD of 374, 316, 842, 216 Calculator

Given Input numbers are 374, 316, 842, 216

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 316 :

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

1, 2, 4, 79, 158, 316

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

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

GCD of numbers is the greatest common divisor

So, the GCD (374, 316, 842, 216) = 2.

Given numbers are 374, 316, 842, 216

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 316 are 2 x 2 x 79

Prime factors of 842 are 2 x 421

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

The highest common occurrence is 2¹

Therefore, GCD of 374, 316, 842, 216 is 2.

Given numbers are 374, 316, 842, 216

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

Apply this formula for all numbers.

Step1:

LCM(374, 316) = 59092

GCD(374, 316) = ( 374 x 316 ) / 59092

= 374 / 316

= 374

Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 374, 316, 842, 216 is 2

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Given numbers are 374, 316, 842, 216
The greatest common divisor of numbers 374, 316, 842, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 316, 842, 216 is 2.

1. What is the GCD of 374, 316, 842, 216?

GCD of given numbers 374, 316, 842, 216 is 2

2. How to calculate the greatest common divisor of 374, 316, 842, 216?

We can find the highest common divisor of 374, 316, 842, 216 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 374, 316, 842, 216 i.e 2.

3. How can I use the GCD of 374, 316, 842, 216Calculator?

Out the numbers 374, 316, 842, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.