GCD of 755, 400, 55, 385 Calculator

Given Input numbers are 755, 400, 55, 385

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 55

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

1, 5, 11, 55

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 755, 400, 55, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 400, 55, 385 is 5.

Therefore, GCD of numbers 755, 400, 55, 385 is 5

Given Input Data is 755, 400, 55, 385

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 55 is 5 x 11

Prime Factorization of 385 is 5 x 7 x 11

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 400) = 60400

GCD(755, 400) = ( 755 x 400 ) / 60400

GCD(755, 400) = 302000 / 60400

GCD(755, 400) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 55

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

LCM(5, 55) = 55

GCD(5, 55) = ( 5 x 55 ) / 55

GCD(5, 55) = 275 / 55

GCD(5, 55) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 385

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

LCM(5, 385) = 385

GCD(5, 385) = ( 5 x 385 ) / 385

GCD(5, 385) = 1925 / 385

GCD(5, 385) = 5

GCD of 755, 400, 55, 385 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 331, 22, 912
• GCD of 513, 780, 60, 148
• GCD of 859, 644, 56, 824
• GCD of 833, 412, 22, 483
• GCD of 130, 123, 52, 882

1. What is the GCD of 755, 400, 55, 385?

GCD of 755, 400, 55, 385 is 5

2. Where do I get the detailed procedure to find GCD of 755, 400, 55, 385?

You can find a detailed procedure to find GCD of 755, 400, 55, 385 on our page.

3. How to find GCD of 755, 400, 55, 385 on a calculator?

You can find the GCD of 755, 400, 55, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.