GCD of 755, 771, 45, 121 Calculator

Given Input numbers are 755, 771, 45, 121

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 771

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

1, 3, 257, 771

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 755, 771, 45, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 771, 45, 121 is 1.

Therefore, GCD of numbers 755, 771, 45, 121 is 1

Given Input Data is 755, 771, 45, 121

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 771 is 3 x 257

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 121 is 11 x 11

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(755, 771) = 582105

GCD(755, 771) = ( 755 x 771 ) / 582105

GCD(755, 771) = 582105 / 582105

GCD(755, 771) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 755, 771, 45, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 567, 42, 408
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• GCD of 299, 948, 49, 144
• GCD of 170, 676, 57, 503
• GCD of 400, 531, 10, 537

1. What is the GCD of 755, 771, 45, 121?

GCD of 755, 771, 45, 121 is 1

2. Where do I get the detailed procedure to find GCD of 755, 771, 45, 121?

You can find a detailed procedure to find GCD of 755, 771, 45, 121 on our page.

3. How to find GCD of 755, 771, 45, 121 on a calculator?

You can find the GCD of 755, 771, 45, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.