GCD of 735, 690, 475, 860 Calculator

Given Input numbers are 735, 690, 475, 860

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

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

Greatest Common Divisior

We found the divisors of 735, 690, 475, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 690, 475, 860 is 5.

Therefore, GCD of numbers 735, 690, 475, 860 is 5

Given Input Data is 735, 690, 475, 860

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 475 is 5 x 5 x 19

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(735, 690) = 33810

GCD(735, 690) = ( 735 x 690 ) / 33810

GCD(735, 690) = 507150 / 33810

GCD(735, 690) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 475

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

LCM(15, 475) = 1425

GCD(15, 475) = ( 15 x 475 ) / 1425

GCD(15, 475) = 7125 / 1425

GCD(15, 475) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 860

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

LCM(5, 860) = 860

GCD(5, 860) = ( 5 x 860 ) / 860

GCD(5, 860) = 4300 / 860

GCD(5, 860) = 5

GCD of 735, 690, 475, 860 is 5

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1. What is the GCD of 735, 690, 475, 860?

GCD of 735, 690, 475, 860 is 5

2. Where do I get the detailed procedure to find GCD of 735, 690, 475, 860?

You can find a detailed procedure to find GCD of 735, 690, 475, 860 on our page.

3. How to find GCD of 735, 690, 475, 860 on a calculator?

You can find the GCD of 735, 690, 475, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.