GCD of 274, 968, 77, 864 Calculator

Given Input numbers are 274, 968, 77, 864

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 274, 968, 77, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 968, 77, 864 is 1.

Therefore, GCD of numbers 274, 968, 77, 864 is 1

Given Input Data is 274, 968, 77, 864

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

Prime Factorization of 274 is 2 x 137

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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(274, 968) = 132616

GCD(274, 968) = ( 274 x 968 ) / 132616

GCD(274, 968) = 265232 / 132616

GCD(274, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 274, 968, 77, 864 is 1

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1. What is the GCD of 274, 968, 77, 864?

GCD of 274, 968, 77, 864 is 1

2. Where do I get the detailed procedure to find GCD of 274, 968, 77, 864?

You can find a detailed procedure to find GCD of 274, 968, 77, 864 on our page.

3. How to find GCD of 274, 968, 77, 864 on a calculator?

You can find the GCD of 274, 968, 77, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.