GCD of 80, 754, 878, 153 Calculator

Given Input numbers are 80, 754, 878, 153

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 80, 754, 878, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 754, 878, 153 is 1.

Therefore, GCD of numbers 80, 754, 878, 153 is 1

Given Input Data is 80, 754, 878, 153

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 878 is 2 x 439

Prime Factorization of 153 is 3 x 3 x 17

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(80, 754) = 30160

GCD(80, 754) = ( 80 x 754 ) / 30160

GCD(80, 754) = 60320 / 30160

GCD(80, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

GCD of 80, 754, 878, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 909, 156, 558
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• GCD of 53, 604, 700, 400
• GCD of 11, 737, 593, 524

1. What is the GCD of 80, 754, 878, 153?

GCD of 80, 754, 878, 153 is 1

2. Where do I get the detailed procedure to find GCD of 80, 754, 878, 153?

You can find a detailed procedure to find GCD of 80, 754, 878, 153 on our page.

3. How to find GCD of 80, 754, 878, 153 on a calculator?

You can find the GCD of 80, 754, 878, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.