GCD of 116, 268, 274, 396 Calculator

Given Input numbers are 116, 268, 274, 396

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 274 :

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

1, 2, 137, 274

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (116, 268, 274, 396) = 2.

Given numbers are 116, 268, 274, 396

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 268 are 2 x 2 x 67

Prime factors of 274 are 2 x 137

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 116, 268, 274, 396 is 2.

Given numbers are 116, 268, 274, 396

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

Apply this formula for all numbers.

Step1:

LCM(116, 268) = 7772

GCD(116, 268) = ( 116 x 268 ) / 7772

= 116 / 268

= 116

Step2:

LCM(4, 274) = 548

GCD(4, 274) = ( 4 x 274 ) / 548

= 4 / 274

= 4

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 116, 268, 274, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 981, 860, 781
• GCD of 657, 754, 212, 471
• GCD of 375, 317, 966, 141
• GCD of 590, 471, 919, 728
• GCD of 588, 266, 107, 795

Given numbers are 116, 268, 274, 396
The greatest common divisor of numbers 116, 268, 274, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 268, 274, 396 is 2.

1. What is the GCD of 116, 268, 274, 396?

GCD of given numbers 116, 268, 274, 396 is 2

2. How to calculate the greatest common divisor of 116, 268, 274, 396?

We can find the highest common divisor of 116, 268, 274, 396 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 116, 268, 274, 396 i.e 2.

3. How can I use the GCD of 116, 268, 274, 396Calculator?

Out the numbers 116, 268, 274, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.