GCD of 966, 527, 49, 919 Calculator

Given Input numbers are 966, 527, 49, 919

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

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 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 966, 527, 49, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 527, 49, 919 is 1.

Therefore, GCD of numbers 966, 527, 49, 919 is 1

Given Input Data is 966, 527, 49, 919

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 527 is 17 x 31

Prime Factorization of 49 is 7 x 7

Prime Factorization of 919 is 919

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(966, 527) = 509082

GCD(966, 527) = ( 966 x 527 ) / 509082

GCD(966, 527) = 509082 / 509082

GCD(966, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 966, 527, 49, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 784, 32, 268
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• GCD of 492, 737, 63, 498
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• GCD of 132, 516, 51, 542

1. What is the GCD of 966, 527, 49, 919?

GCD of 966, 527, 49, 919 is 1

2. Where do I get the detailed procedure to find GCD of 966, 527, 49, 919?

You can find a detailed procedure to find GCD of 966, 527, 49, 919 on our page.

3. How to find GCD of 966, 527, 49, 919 on a calculator?

You can find the GCD of 966, 527, 49, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.