GCD of 928, 180, 77, 670 Calculator

Given Input numbers are 928, 180, 77, 670

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

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 77

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

1, 7, 11, 77

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 928, 180, 77, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 180, 77, 670 is 1.

Therefore, GCD of numbers 928, 180, 77, 670 is 1

Given Input Data is 928, 180, 77, 670

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

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 77 is 7 x 11

Prime Factorization of 670 is 2 x 5 x 67

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(928, 180) = 41760

GCD(928, 180) = ( 928 x 180 ) / 41760

GCD(928, 180) = 167040 / 41760

GCD(928, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 928, 180, 77, 670 is 1

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1. What is the GCD of 928, 180, 77, 670?

GCD of 928, 180, 77, 670 is 1

2. Where do I get the detailed procedure to find GCD of 928, 180, 77, 670?

You can find a detailed procedure to find GCD of 928, 180, 77, 670 on our page.

3. How to find GCD of 928, 180, 77, 670 on a calculator?

You can find the GCD of 928, 180, 77, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.