GCD of 530, 890, 140, 105 Calculator

Given Input numbers are 530, 890, 140, 105

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 530, 890, 140, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 890, 140, 105 is 5.

Therefore, GCD of numbers 530, 890, 140, 105 is 5

Given Input Data is 530, 890, 140, 105

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(530, 890) = 47170

GCD(530, 890) = ( 530 x 890 ) / 47170

GCD(530, 890) = 471700 / 47170

GCD(530, 890) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 140

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

LCM(10, 140) = 140

GCD(10, 140) = ( 10 x 140 ) / 140

GCD(10, 140) = 1400 / 140

GCD(10, 140) = 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 530, 890, 140, 105 is 5

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1. What is the GCD of 530, 890, 140, 105?

GCD of 530, 890, 140, 105 is 5

2. Where do I get the detailed procedure to find GCD of 530, 890, 140, 105?

You can find a detailed procedure to find GCD of 530, 890, 140, 105 on our page.

3. How to find GCD of 530, 890, 140, 105 on a calculator?

You can find the GCD of 530, 890, 140, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.