GCD of 968, 778, 886, 264 Calculator

Given Input numbers are 968, 778, 886, 264

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

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

Greatest Common Divisior

We found the divisors of 968, 778, 886, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 778, 886, 264 is 2.

Therefore, GCD of numbers 968, 778, 886, 264 is 2

Given Input Data is 968, 778, 886, 264

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 778 is 2 x 389

Prime Factorization of 886 is 2 x 443

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(968, 778) = 376552

GCD(968, 778) = ( 968 x 778 ) / 376552

GCD(968, 778) = 753104 / 376552

GCD(968, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

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

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 968, 778, 886, 264 is 2

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1. What is the GCD of 968, 778, 886, 264?

GCD of 968, 778, 886, 264 is 2

2. Where do I get the detailed procedure to find GCD of 968, 778, 886, 264?

You can find a detailed procedure to find GCD of 968, 778, 886, 264 on our page.

3. How to find GCD of 968, 778, 886, 264 on a calculator?

You can find the GCD of 968, 778, 886, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.