GCD of 143, 702, 975 Calculator

Given Input numbers are 143, 702, 975

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 143, 702, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 702, 975 is 13.

Therefore, GCD of numbers 143, 702, 975 is 13

Given Input Data is 143, 702, 975

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 975 is 3 x 5 x 5 x 13

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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(143, 702) = 7722

GCD(143, 702) = ( 143 x 702 ) / 7722

GCD(143, 702) = 100386 / 7722

GCD(143, 702) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 975

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

LCM(13, 975) = 975

GCD(13, 975) = ( 13 x 975 ) / 975

GCD(13, 975) = 12675 / 975

GCD(13, 975) = 13

GCD of 143, 702, 975 is 13

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1. What is the GCD of 143, 702, 975?

GCD of 143, 702, 975 is 13

2. Where do I get the detailed procedure to find GCD of 143, 702, 975?

You can find a detailed procedure to find GCD of 143, 702, 975 on our page.

3. How to find GCD of 143, 702, 975 on a calculator?

You can find the GCD of 143, 702, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.