GCD of 55, 302, 380, 754 Calculator

Given Input numbers are 55, 302, 380, 754

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 55, 302, 380, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 302, 380, 754 is 1.

Therefore, GCD of numbers 55, 302, 380, 754 is 1

Given Input Data is 55, 302, 380, 754

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 302 is 2 x 151

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 754 is 2 x 13 x 29

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(55, 302) = 16610

GCD(55, 302) = ( 55 x 302 ) / 16610

GCD(55, 302) = 16610 / 16610

GCD(55, 302) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 55, 302, 380, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 924, 637, 730
• GCD of 85, 736, 641, 926
• GCD of 63, 170, 954, 949
• GCD of 78, 174, 881, 319
• GCD of 38, 542, 107, 827

1. What is the GCD of 55, 302, 380, 754?

GCD of 55, 302, 380, 754 is 1

2. Where do I get the detailed procedure to find GCD of 55, 302, 380, 754?

You can find a detailed procedure to find GCD of 55, 302, 380, 754 on our page.

3. How to find GCD of 55, 302, 380, 754 on a calculator?

You can find the GCD of 55, 302, 380, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.