GCD of 783, 110, 148, 975 Calculator

Given Input numbers are 783, 110, 148, 975

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 783, 110, 148, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 110, 148, 975 is 1.

Therefore, GCD of numbers 783, 110, 148, 975 is 1

Given Input Data is 783, 110, 148, 975

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(783, 110) = 86130

GCD(783, 110) = ( 783 x 110 ) / 86130

GCD(783, 110) = 86130 / 86130

GCD(783, 110) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 783, 110, 148, 975 is 1

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1. What is the GCD of 783, 110, 148, 975?

GCD of 783, 110, 148, 975 is 1

2. Where do I get the detailed procedure to find GCD of 783, 110, 148, 975?

You can find a detailed procedure to find GCD of 783, 110, 148, 975 on our page.

3. How to find GCD of 783, 110, 148, 975 on a calculator?

You can find the GCD of 783, 110, 148, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.