GCD of 50, 580, 670, 105 Calculator

Given Input numbers are 50, 580, 670, 105

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 50, 580, 670, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 580, 670, 105 is 5.

Therefore, GCD of numbers 50, 580, 670, 105 is 5

Given Input Data is 50, 580, 670, 105

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 105 is 3 x 5 x 7

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(50, 580) = 2900

GCD(50, 580) = ( 50 x 580 ) / 2900

GCD(50, 580) = 29000 / 2900

GCD(50, 580) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 670

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

LCM(10, 670) = 670

GCD(10, 670) = ( 10 x 670 ) / 670

GCD(10, 670) = 6700 / 670

GCD(10, 670) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 105

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

LCM(10, 105) = 210

GCD(10, 105) = ( 10 x 105 ) / 210

GCD(10, 105) = 1050 / 210

GCD(10, 105) = 5

GCD of 50, 580, 670, 105 is 5

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1. What is the GCD of 50, 580, 670, 105?

GCD of 50, 580, 670, 105 is 5

2. Where do I get the detailed procedure to find GCD of 50, 580, 670, 105?

You can find a detailed procedure to find GCD of 50, 580, 670, 105 on our page.

3. How to find GCD of 50, 580, 670, 105 on a calculator?

You can find the GCD of 50, 580, 670, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.