GCD of 55, 20, 74, 70 Calculator

Given Input numbers are 55, 20, 74, 70

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 70

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

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

Greatest Common Divisior

We found the divisors of 55, 20, 74, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 20, 74, 70 is 1.

Therefore, GCD of numbers 55, 20, 74, 70 is 1

Given Input Data is 55, 20, 74, 70

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 74 is 2 x 37

Prime Factorization of 70 is 2 x 5 x 7

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, 20) = 220

GCD(55, 20) = ( 55 x 20 ) / 220

GCD(55, 20) = 1100 / 220

GCD(55, 20) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 74

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

LCM(5, 74) = 370

GCD(5, 74) = ( 5 x 74 ) / 370

GCD(5, 74) = 370 / 370

GCD(5, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

GCD of 55, 20, 74, 70 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 41, 77, 96
• GCD of 84, 38, 60, 82
• GCD of 88, 33, 28, 30
• GCD of 45, 11, 18, 45
• GCD of 90, 52, 60, 73

1. What is the GCD of 55, 20, 74, 70?

GCD of 55, 20, 74, 70 is 1

2. Where do I get the detailed procedure to find GCD of 55, 20, 74, 70?

You can find a detailed procedure to find GCD of 55, 20, 74, 70 on our page.

3. How to find GCD of 55, 20, 74, 70 on a calculator?

You can find the GCD of 55, 20, 74, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.