GCD of 852, 801, 968, 465 Calculator

Given Input numbers are 852, 801, 968, 465

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 852, 801, 968, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 801, 968, 465 is 1.

Therefore, GCD of numbers 852, 801, 968, 465 is 1

Given Input Data is 852, 801, 968, 465

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 465 is 3 x 5 x 31

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(852, 801) = 227484

GCD(852, 801) = ( 852 x 801 ) / 227484

GCD(852, 801) = 682452 / 227484

GCD(852, 801) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 968

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

LCM(3, 968) = 2904

GCD(3, 968) = ( 3 x 968 ) / 2904

GCD(3, 968) = 2904 / 2904

GCD(3, 968) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 852, 801, 968, 465 is 1

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• GCD of 460, 414, 566, 221
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1. What is the GCD of 852, 801, 968, 465?

GCD of 852, 801, 968, 465 is 1

2. Where do I get the detailed procedure to find GCD of 852, 801, 968, 465?

You can find a detailed procedure to find GCD of 852, 801, 968, 465 on our page.

3. How to find GCD of 852, 801, 968, 465 on a calculator?

You can find the GCD of 852, 801, 968, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.