GCD of 216, 354, 834, 375 Calculator

Given Input numbers are 216, 354, 834, 375

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

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (216, 354, 834, 375) = 3.

Given numbers are 216, 354, 834, 375

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 834 are 2 x 3 x 139

Prime factors of 375 are 3 x 5 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 216, 354, 834, 375 is 3.

Given numbers are 216, 354, 834, 375

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

Apply this formula for all numbers.

Step1:

LCM(216, 354) = 12744

GCD(216, 354) = ( 216 x 354 ) / 12744

= 216 / 354

= 216

Step2:

LCM(6, 834) = 834

GCD(6, 834) = ( 6 x 834 ) / 834

= 6 / 834

= 6

Step3:

LCM(6, 375) = 750

GCD(6, 375) = ( 6 x 375 ) / 750

= 6 / 375

= 6

So, Greatest Common Divisor of 216, 354, 834, 375 is 3

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• GCD of 864, 151, 443, 295
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Given numbers are 216, 354, 834, 375
The greatest common divisor of numbers 216, 354, 834, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 354, 834, 375 is 3.

1. What is the GCD of 216, 354, 834, 375?

GCD of given numbers 216, 354, 834, 375 is 3

2. How to calculate the greatest common divisor of 216, 354, 834, 375?

We can find the highest common divisor of 216, 354, 834, 375 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 216, 354, 834, 375 i.e 3.

3. How can I use the GCD of 216, 354, 834, 375Calculator?

Out the numbers 216, 354, 834, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.