GCD of 112, 794, 978, 264 Calculator

Given Input numbers are 112, 794, 978, 264

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (112, 794, 978, 264) = 2.

Given numbers are 112, 794, 978, 264

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 794 are 2 x 397

Prime factors of 978 are 2 x 3 x 163

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 112, 794, 978, 264 is 2.

Given numbers are 112, 794, 978, 264

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

Apply this formula for all numbers.

Step1:

LCM(112, 794) = 44464

GCD(112, 794) = ( 112 x 794 ) / 44464

= 112 / 794

= 112

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 112, 794, 978, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 572, 807, 934
• GCD of 487, 174, 239, 663
• GCD of 442, 894, 443, 418
• GCD of 999, 714, 762, 553
• GCD of 645, 538, 769, 407

Given numbers are 112, 794, 978, 264
The greatest common divisor of numbers 112, 794, 978, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 794, 978, 264 is 2.

1. What is the GCD of 112, 794, 978, 264?

GCD of given numbers 112, 794, 978, 264 is 2

2. How to calculate the greatest common divisor of 112, 794, 978, 264?

We can find the highest common divisor of 112, 794, 978, 264 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 112, 794, 978, 264 i.e 2.

3. How can I use the GCD of 112, 794, 978, 264Calculator?

Out the numbers 112, 794, 978, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.