GCD of 860, 464, 745, 588 Calculator

Given Input numbers are 860, 464, 745, 588

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 860, 464, 745, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 464, 745, 588 is 1.

Therefore, GCD of numbers 860, 464, 745, 588 is 1

Given Input Data is 860, 464, 745, 588

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 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 745 is 5 x 149

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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, 464) = 99760

GCD(860, 464) = ( 860 x 464 ) / 99760

GCD(860, 464) = 399040 / 99760

GCD(860, 464) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 745

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

LCM(4, 745) = 2980

GCD(4, 745) = ( 4 x 745 ) / 2980

GCD(4, 745) = 2980 / 2980

GCD(4, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 860, 464, 745, 588 is 1

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1. What is the GCD of 860, 464, 745, 588?

GCD of 860, 464, 745, 588 is 1

2. Where do I get the detailed procedure to find GCD of 860, 464, 745, 588?

You can find a detailed procedure to find GCD of 860, 464, 745, 588 on our page.

3. How to find GCD of 860, 464, 745, 588 on a calculator?

You can find the GCD of 860, 464, 745, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.