GCD of 771, 100, 43, 766 Calculator

Given Input numbers are 771, 100, 43, 766

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 771, 100, 43, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 100, 43, 766 is 1.

Therefore, GCD of numbers 771, 100, 43, 766 is 1

Given Input Data is 771, 100, 43, 766

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 43 is 43

Prime Factorization of 766 is 2 x 383

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(771, 100) = 77100

GCD(771, 100) = ( 771 x 100 ) / 77100

GCD(771, 100) = 77100 / 77100

GCD(771, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 771, 100, 43, 766 is 1

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1. What is the GCD of 771, 100, 43, 766?

GCD of 771, 100, 43, 766 is 1

2. Where do I get the detailed procedure to find GCD of 771, 100, 43, 766?

You can find a detailed procedure to find GCD of 771, 100, 43, 766 on our page.

3. How to find GCD of 771, 100, 43, 766 on a calculator?

You can find the GCD of 771, 100, 43, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.