GCD of 916, 274, 398 Calculator

Given Input numbers are 916, 274, 398

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (916, 274, 398) = 2.

Given numbers are 916, 274, 398

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 274 are 2 x 137

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 916, 274, 398 is 2.

Given numbers are 916, 274, 398

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

Apply this formula for all numbers.

Step1:

LCM(916, 274) = 125492

GCD(916, 274) = ( 916 x 274 ) / 125492

= 916 / 274

= 916

Step2:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 916, 274, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 283, 784
• GCD of 609, 587, 393
• GCD of 580, 175, 967
• GCD of 109, 680, 334
• GCD of 922, 507, 442

Given numbers are 916, 274, 398
The greatest common divisor of numbers 916, 274, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 274, 398 is 2.

1. What is the GCD of 916, 274, 398?

GCD of given numbers 916, 274, 398 is 2

2. How to calculate the greatest common divisor of 916, 274, 398?

We can find the highest common divisor of 916, 274, 398 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 916, 274, 398 i.e 2.

3. How can I use the GCD of 916, 274, 398Calculator?

Out the numbers 916, 274, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.