GCD of 860, 440, 965, 374 Calculator

Given Input numbers are 860, 440, 965, 374

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 860, 440, 965, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 440, 965, 374 is 1.

Therefore, GCD of numbers 860, 440, 965, 374 is 1

Given Input Data is 860, 440, 965, 374

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 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 965 is 5 x 193

Prime Factorization of 374 is 2 x 11 x 17

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, 440) = 18920

GCD(860, 440) = ( 860 x 440 ) / 18920

GCD(860, 440) = 378400 / 18920

GCD(860, 440) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 965

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

LCM(20, 965) = 3860

GCD(20, 965) = ( 20 x 965 ) / 3860

GCD(20, 965) = 19300 / 3860

GCD(20, 965) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 374

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

LCM(5, 374) = 1870

GCD(5, 374) = ( 5 x 374 ) / 1870

GCD(5, 374) = 1870 / 1870

GCD(5, 374) = 1

GCD of 860, 440, 965, 374 is 1

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1. What is the GCD of 860, 440, 965, 374?

GCD of 860, 440, 965, 374 is 1

2. Where do I get the detailed procedure to find GCD of 860, 440, 965, 374?

You can find a detailed procedure to find GCD of 860, 440, 965, 374 on our page.

3. How to find GCD of 860, 440, 965, 374 on a calculator?

You can find the GCD of 860, 440, 965, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.