GCD of 370, 109, 832, 169 Calculator

Given Input numbers are 370, 109, 832, 169

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 169

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

1, 13, 169

Greatest Common Divisior

We found the divisors of 370, 109, 832, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 109, 832, 169 is 1.

Therefore, GCD of numbers 370, 109, 832, 169 is 1

Given Input Data is 370, 109, 832, 169

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 109 is 109

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 169 is 13 x 13

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(370, 109) = 40330

GCD(370, 109) = ( 370 x 109 ) / 40330

GCD(370, 109) = 40330 / 40330

GCD(370, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 370, 109, 832, 169 is 1

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1. What is the GCD of 370, 109, 832, 169?

GCD of 370, 109, 832, 169 is 1

2. Where do I get the detailed procedure to find GCD of 370, 109, 832, 169?

You can find a detailed procedure to find GCD of 370, 109, 832, 169 on our page.

3. How to find GCD of 370, 109, 832, 169 on a calculator?

You can find the GCD of 370, 109, 832, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.