GCD of 169, 143, 362, 735 Calculator

Given Input numbers are 169, 143, 362, 735

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 143

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

1, 11, 13, 143

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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

Greatest Common Divisior

We found the divisors of 169, 143, 362, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 143, 362, 735 is 1.

Therefore, GCD of numbers 169, 143, 362, 735 is 1

Given Input Data is 169, 143, 362, 735

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 143 is 11 x 13

Prime Factorization of 362 is 2 x 181

Prime Factorization of 735 is 3 x 5 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(169, 143) = 1859

GCD(169, 143) = ( 169 x 143 ) / 1859

GCD(169, 143) = 24167 / 1859

GCD(169, 143) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 362

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

LCM(13, 362) = 4706

GCD(13, 362) = ( 13 x 362 ) / 4706

GCD(13, 362) = 4706 / 4706

GCD(13, 362) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 169, 143, 362, 735 is 1

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1. What is the GCD of 169, 143, 362, 735?

GCD of 169, 143, 362, 735 is 1

2. Where do I get the detailed procedure to find GCD of 169, 143, 362, 735?

You can find a detailed procedure to find GCD of 169, 143, 362, 735 on our page.

3. How to find GCD of 169, 143, 362, 735 on a calculator?

You can find the GCD of 169, 143, 362, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.