GCD of 495, 289, 70, 105 Calculator

Given Input numbers are 495, 289, 70, 105

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 70

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

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

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 495, 289, 70, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 289, 70, 105 is 1.

Therefore, GCD of numbers 495, 289, 70, 105 is 1

Given Input Data is 495, 289, 70, 105

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 289 is 17 x 17

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 105 is 3 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(495, 289) = 143055

GCD(495, 289) = ( 495 x 289 ) / 143055

GCD(495, 289) = 143055 / 143055

GCD(495, 289) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 495, 289, 70, 105 is 1

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• GCD of 569, 479, 56, 358
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1. What is the GCD of 495, 289, 70, 105?

GCD of 495, 289, 70, 105 is 1

2. Where do I get the detailed procedure to find GCD of 495, 289, 70, 105?

You can find a detailed procedure to find GCD of 495, 289, 70, 105 on our page.

3. How to find GCD of 495, 289, 70, 105 on a calculator?

You can find the GCD of 495, 289, 70, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.