GCD of 772, 632, 92, 552 Calculator

Given Input numbers are 772, 632, 92, 552

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 772, 632, 92, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 632, 92, 552 is 4.

Therefore, GCD of numbers 772, 632, 92, 552 is 4

Given Input Data is 772, 632, 92, 552

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(772, 632) = 121976

GCD(772, 632) = ( 772 x 632 ) / 121976

GCD(772, 632) = 487904 / 121976

GCD(772, 632) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 92

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

LCM(4, 92) = 92

GCD(4, 92) = ( 4 x 92 ) / 92

GCD(4, 92) = 368 / 92

GCD(4, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 552

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

LCM(4, 552) = 552

GCD(4, 552) = ( 4 x 552 ) / 552

GCD(4, 552) = 2208 / 552

GCD(4, 552) = 4

GCD of 772, 632, 92, 552 is 4

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1. What is the GCD of 772, 632, 92, 552?

GCD of 772, 632, 92, 552 is 4

2. Where do I get the detailed procedure to find GCD of 772, 632, 92, 552?

You can find a detailed procedure to find GCD of 772, 632, 92, 552 on our page.

3. How to find GCD of 772, 632, 92, 552 on a calculator?

You can find the GCD of 772, 632, 92, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.