GCD of 690, 191, 61, 350 Calculator

Given Input numbers are 690, 191, 61, 350

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

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 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 690, 191, 61, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 191, 61, 350 is 1.

Therefore, GCD of numbers 690, 191, 61, 350 is 1

Given Input Data is 690, 191, 61, 350

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

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

Prime Factorization of 191 is 191

Prime Factorization of 61 is 61

Prime Factorization of 350 is 2 x 5 x 5 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(690, 191) = 131790

GCD(690, 191) = ( 690 x 191 ) / 131790

GCD(690, 191) = 131790 / 131790

GCD(690, 191) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 690, 191, 61, 350 is 1

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1. What is the GCD of 690, 191, 61, 350?

GCD of 690, 191, 61, 350 is 1

2. Where do I get the detailed procedure to find GCD of 690, 191, 61, 350?

You can find a detailed procedure to find GCD of 690, 191, 61, 350 on our page.

3. How to find GCD of 690, 191, 61, 350 on a calculator?

You can find the GCD of 690, 191, 61, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.