GCD of 660, 315, 535, 265 Calculator

Given Input numbers are 660, 315, 535, 265

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 660, 315, 535, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 315, 535, 265 is 5.

Therefore, GCD of numbers 660, 315, 535, 265 is 5

Given Input Data is 660, 315, 535, 265

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 535 is 5 x 107

Prime Factorization of 265 is 5 x 53

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(660, 315) = 13860

GCD(660, 315) = ( 660 x 315 ) / 13860

GCD(660, 315) = 207900 / 13860

GCD(660, 315) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 535

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

LCM(15, 535) = 1605

GCD(15, 535) = ( 15 x 535 ) / 1605

GCD(15, 535) = 8025 / 1605

GCD(15, 535) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 265

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

LCM(5, 265) = 265

GCD(5, 265) = ( 5 x 265 ) / 265

GCD(5, 265) = 1325 / 265

GCD(5, 265) = 5

GCD of 660, 315, 535, 265 is 5

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• GCD of 673, 444, 364, 902
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1. What is the GCD of 660, 315, 535, 265?

GCD of 660, 315, 535, 265 is 5

2. Where do I get the detailed procedure to find GCD of 660, 315, 535, 265?

You can find a detailed procedure to find GCD of 660, 315, 535, 265 on our page.

3. How to find GCD of 660, 315, 535, 265 on a calculator?

You can find the GCD of 660, 315, 535, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.