GCD of 755, 948, 300, 892 Calculator

Given Input numbers are 755, 948, 300, 892

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 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 755, 948, 300, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 948, 300, 892 is 1.

Therefore, GCD of numbers 755, 948, 300, 892 is 1

Given Input Data is 755, 948, 300, 892

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 892 is 2 x 2 x 223

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, 948) = 715740

GCD(755, 948) = ( 755 x 948 ) / 715740

GCD(755, 948) = 715740 / 715740

GCD(755, 948) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 755, 948, 300, 892 is 1

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1. What is the GCD of 755, 948, 300, 892?

GCD of 755, 948, 300, 892 is 1

2. Where do I get the detailed procedure to find GCD of 755, 948, 300, 892?

You can find a detailed procedure to find GCD of 755, 948, 300, 892 on our page.

3. How to find GCD of 755, 948, 300, 892 on a calculator?

You can find the GCD of 755, 948, 300, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.