GCD of 755, 930, 72, 971 Calculator

Given Input numbers are 755, 930, 72, 971

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 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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 755, 930, 72, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 930, 72, 971 is 1.

Therefore, GCD of numbers 755, 930, 72, 971 is 1

Given Input Data is 755, 930, 72, 971

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

Prime Factorization of 755 is 5 x 151

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 971 is 971

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, 930) = 140430

GCD(755, 930) = ( 755 x 930 ) / 140430

GCD(755, 930) = 702150 / 140430

GCD(755, 930) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 72

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

LCM(5, 72) = 360

GCD(5, 72) = ( 5 x 72 ) / 360

GCD(5, 72) = 360 / 360

GCD(5, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 755, 930, 72, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 449, 56, 221
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• GCD of 749, 502, 15, 253
• GCD of 609, 877, 74, 327
• GCD of 289, 167, 71, 701

1. What is the GCD of 755, 930, 72, 971?

GCD of 755, 930, 72, 971 is 1

2. Where do I get the detailed procedure to find GCD of 755, 930, 72, 971?

You can find a detailed procedure to find GCD of 755, 930, 72, 971 on our page.

3. How to find GCD of 755, 930, 72, 971 on a calculator?

You can find the GCD of 755, 930, 72, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.