GCD of 268, 900, 616, 755 Calculator

Given Input numbers are 268, 900, 616, 755

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 755

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

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 268, 900, 616, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 900, 616, 755 is 1.

Therefore, GCD of numbers 268, 900, 616, 755 is 1

Given Input Data is 268, 900, 616, 755

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 755 is 5 x 151

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(268, 900) = 60300

GCD(268, 900) = ( 268 x 900 ) / 60300

GCD(268, 900) = 241200 / 60300

GCD(268, 900) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 616

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

LCM(4, 616) = 616

GCD(4, 616) = ( 4 x 616 ) / 616

GCD(4, 616) = 2464 / 616

GCD(4, 616) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 755

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

LCM(4, 755) = 3020

GCD(4, 755) = ( 4 x 755 ) / 3020

GCD(4, 755) = 3020 / 3020

GCD(4, 755) = 1

GCD of 268, 900, 616, 755 is 1

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1. What is the GCD of 268, 900, 616, 755?

GCD of 268, 900, 616, 755 is 1

2. Where do I get the detailed procedure to find GCD of 268, 900, 616, 755?

You can find a detailed procedure to find GCD of 268, 900, 616, 755 on our page.

3. How to find GCD of 268, 900, 616, 755 on a calculator?

You can find the GCD of 268, 900, 616, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.