GCD of 70, 550, 755, 180 Calculator

Given Input numbers are 70, 550, 755, 180

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 755

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

1, 5, 151, 755

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 70, 550, 755, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 550, 755, 180 is 5.

Therefore, GCD of numbers 70, 550, 755, 180 is 5

Given Input Data is 70, 550, 755, 180

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 755 is 5 x 151

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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(70, 550) = 3850

GCD(70, 550) = ( 70 x 550 ) / 3850

GCD(70, 550) = 38500 / 3850

GCD(70, 550) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 755

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

LCM(10, 755) = 1510

GCD(10, 755) = ( 10 x 755 ) / 1510

GCD(10, 755) = 7550 / 1510

GCD(10, 755) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 180

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

LCM(5, 180) = 180

GCD(5, 180) = ( 5 x 180 ) / 180

GCD(5, 180) = 900 / 180

GCD(5, 180) = 5

GCD of 70, 550, 755, 180 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 815, 208, 213
• GCD of 73, 570, 256, 373
• GCD of 11, 867, 461, 748
• GCD of 82, 889, 447, 987
• GCD of 40, 419, 530, 936

1. What is the GCD of 70, 550, 755, 180?

GCD of 70, 550, 755, 180 is 5

2. Where do I get the detailed procedure to find GCD of 70, 550, 755, 180?

You can find a detailed procedure to find GCD of 70, 550, 755, 180 on our page.

3. How to find GCD of 70, 550, 755, 180 on a calculator?

You can find the GCD of 70, 550, 755, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.