GCD of 850, 930, 748, 761 Calculator

Given Input numbers are 850, 930, 748, 761

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 850, 930, 748, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 930, 748, 761 is 1.

Therefore, GCD of numbers 850, 930, 748, 761 is 1

Given Input Data is 850, 930, 748, 761

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 761 is 761

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(850, 930) = 79050

GCD(850, 930) = ( 850 x 930 ) / 79050

GCD(850, 930) = 790500 / 79050

GCD(850, 930) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 748

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

LCM(10, 748) = 3740

GCD(10, 748) = ( 10 x 748 ) / 3740

GCD(10, 748) = 7480 / 3740

GCD(10, 748) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 761

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

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

GCD(2, 761) = 1522 / 1522

GCD(2, 761) = 1

GCD of 850, 930, 748, 761 is 1

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1. What is the GCD of 850, 930, 748, 761?

GCD of 850, 930, 748, 761 is 1

2. Where do I get the detailed procedure to find GCD of 850, 930, 748, 761?

You can find a detailed procedure to find GCD of 850, 930, 748, 761 on our page.

3. How to find GCD of 850, 930, 748, 761 on a calculator?

You can find the GCD of 850, 930, 748, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.