GCD of 296, 768, 78, 988 Calculator

Given Input numbers are 296, 768, 78, 988

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (296, 768, 78, 988) = 2.

Given numbers are 296, 768, 78, 988

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 78 are 2 x 3 x 13

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 296, 768, 78, 988 is 2.

Given numbers are 296, 768, 78, 988

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

Apply this formula for all numbers.

Step1:

LCM(296, 768) = 28416

GCD(296, 768) = ( 296 x 768 ) / 28416

= 296 / 768

= 296

Step2:

LCM(8, 78) = 312

GCD(8, 78) = ( 8 x 78 ) / 312

= 8 / 78

= 8

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 296, 768, 78, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 659, 44, 464
• GCD of 450, 572, 29, 627
• GCD of 843, 804, 54, 869
• GCD of 944, 246, 17, 615
• GCD of 943, 172, 77, 381

Given numbers are 296, 768, 78, 988
The greatest common divisor of numbers 296, 768, 78, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 768, 78, 988 is 2.

1. What is the GCD of 296, 768, 78, 988?

GCD of given numbers 296, 768, 78, 988 is 2

2. How to calculate the greatest common divisor of 296, 768, 78, 988?

We can find the highest common divisor of 296, 768, 78, 988 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 296, 768, 78, 988 i.e 2.

3. How can I use the GCD of 296, 768, 78, 988Calculator?

Out the numbers 296, 768, 78, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.