GCD of 53, 966, 952, 846 Calculator

Given Input numbers are 53, 966, 952, 846

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 53, 966, 952, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 966, 952, 846 is 1.

Therefore, GCD of numbers 53, 966, 952, 846 is 1

Given Input Data is 53, 966, 952, 846

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

Prime Factorization of 53 is 53

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(53, 966) = 51198

GCD(53, 966) = ( 53 x 966 ) / 51198

GCD(53, 966) = 51198 / 51198

GCD(53, 966) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 53, 966, 952, 846 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 366, 360, 951
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• GCD of 68, 611, 208, 482

1. What is the GCD of 53, 966, 952, 846?

GCD of 53, 966, 952, 846 is 1

2. Where do I get the detailed procedure to find GCD of 53, 966, 952, 846?

You can find a detailed procedure to find GCD of 53, 966, 952, 846 on our page.

3. How to find GCD of 53, 966, 952, 846 on a calculator?

You can find the GCD of 53, 966, 952, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.