GCD of 525, 270, 890, 985 Calculator

Given Input numbers are 525, 270, 890, 985

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 525, 270, 890, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 270, 890, 985 is 5.

Therefore, GCD of numbers 525, 270, 890, 985 is 5

Given Input Data is 525, 270, 890, 985

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 985 is 5 x 197

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(525, 270) = 9450

GCD(525, 270) = ( 525 x 270 ) / 9450

GCD(525, 270) = 141750 / 9450

GCD(525, 270) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 890

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

LCM(15, 890) = 2670

GCD(15, 890) = ( 15 x 890 ) / 2670

GCD(15, 890) = 13350 / 2670

GCD(15, 890) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 985

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

LCM(5, 985) = 985

GCD(5, 985) = ( 5 x 985 ) / 985

GCD(5, 985) = 4925 / 985

GCD(5, 985) = 5

GCD of 525, 270, 890, 985 is 5

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1. What is the GCD of 525, 270, 890, 985?

GCD of 525, 270, 890, 985 is 5

2. Where do I get the detailed procedure to find GCD of 525, 270, 890, 985?

You can find a detailed procedure to find GCD of 525, 270, 890, 985 on our page.

3. How to find GCD of 525, 270, 890, 985 on a calculator?

You can find the GCD of 525, 270, 890, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.