GCD of 76, 889, 578, 746 Calculator

Given Input numbers are 76, 889, 578, 746

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 76, 889, 578, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 889, 578, 746 is 1.

Therefore, GCD of numbers 76, 889, 578, 746 is 1

Given Input Data is 76, 889, 578, 746

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 889 is 7 x 127

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 746 is 2 x 373

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(76, 889) = 67564

GCD(76, 889) = ( 76 x 889 ) / 67564

GCD(76, 889) = 67564 / 67564

GCD(76, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 76, 889, 578, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 299, 262, 652
• GCD of 15, 917, 366, 223
• GCD of 71, 612, 571, 245
• GCD of 35, 496, 284, 440
• GCD of 81, 792, 117, 567

1. What is the GCD of 76, 889, 578, 746?

GCD of 76, 889, 578, 746 is 1

2. Where do I get the detailed procedure to find GCD of 76, 889, 578, 746?

You can find a detailed procedure to find GCD of 76, 889, 578, 746 on our page.

3. How to find GCD of 76, 889, 578, 746 on a calculator?

You can find the GCD of 76, 889, 578, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.