GCD of 860, 952, 39, 305 Calculator

Given Input numbers are 860, 952, 39, 305

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

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 860, 952, 39, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 952, 39, 305 is 1.

Therefore, GCD of numbers 860, 952, 39, 305 is 1

Given Input Data is 860, 952, 39, 305

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 305 is 5 x 61

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(860, 952) = 204680

GCD(860, 952) = ( 860 x 952 ) / 204680

GCD(860, 952) = 818720 / 204680

GCD(860, 952) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 39

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

LCM(4, 39) = 156

GCD(4, 39) = ( 4 x 39 ) / 156

GCD(4, 39) = 156 / 156

GCD(4, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 860, 952, 39, 305 is 1

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• GCD of 572, 118, 79, 318
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• GCD of 115, 824, 50, 661

1. What is the GCD of 860, 952, 39, 305?

GCD of 860, 952, 39, 305 is 1

2. Where do I get the detailed procedure to find GCD of 860, 952, 39, 305?

You can find a detailed procedure to find GCD of 860, 952, 39, 305 on our page.

3. How to find GCD of 860, 952, 39, 305 on a calculator?

You can find the GCD of 860, 952, 39, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.