GCD of 152, 928, 989, 277 Calculator

Given Input numbers are 152, 928, 989, 277

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 152, 928, 989, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 928, 989, 277 is 1.

Therefore, GCD of numbers 152, 928, 989, 277 is 1

Given Input Data is 152, 928, 989, 277

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 989 is 23 x 43

Prime Factorization of 277 is 277

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(152, 928) = 17632

GCD(152, 928) = ( 152 x 928 ) / 17632

GCD(152, 928) = 141056 / 17632

GCD(152, 928) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 989

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

LCM(8, 989) = 7912

GCD(8, 989) = ( 8 x 989 ) / 7912

GCD(8, 989) = 7912 / 7912

GCD(8, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 152, 928, 989, 277 is 1

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1. What is the GCD of 152, 928, 989, 277?

GCD of 152, 928, 989, 277 is 1

2. Where do I get the detailed procedure to find GCD of 152, 928, 989, 277?

You can find a detailed procedure to find GCD of 152, 928, 989, 277 on our page.

3. How to find GCD of 152, 928, 989, 277 on a calculator?

You can find the GCD of 152, 928, 989, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.