GCD of 495, 966, 141, 739 Calculator

Given Input numbers are 495, 966, 141, 739

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 495, 966, 141, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 966, 141, 739 is 1.

Therefore, GCD of numbers 495, 966, 141, 739 is 1

Given Input Data is 495, 966, 141, 739

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 966 is 2 x 3 x 7 x 23

Prime Factorization of 141 is 3 x 47

Prime Factorization of 739 is 739

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, 966) = 159390

GCD(495, 966) = ( 495 x 966 ) / 159390

GCD(495, 966) = 478170 / 159390

GCD(495, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 141

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

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

GCD(3, 141) = 423 / 141

GCD(3, 141) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 739

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

LCM(3, 739) = 2217

GCD(3, 739) = ( 3 x 739 ) / 2217

GCD(3, 739) = 2217 / 2217

GCD(3, 739) = 1

GCD of 495, 966, 141, 739 is 1

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• GCD of 684, 677, 443, 531
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1. What is the GCD of 495, 966, 141, 739?

GCD of 495, 966, 141, 739 is 1

2. Where do I get the detailed procedure to find GCD of 495, 966, 141, 739?

You can find a detailed procedure to find GCD of 495, 966, 141, 739 on our page.

3. How to find GCD of 495, 966, 141, 739 on a calculator?

You can find the GCD of 495, 966, 141, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.