GCD of 290, 690, 966, 157 Calculator

Given Input numbers are 290, 690, 966, 157

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 290, 690, 966, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 690, 966, 157 is 1.

Therefore, GCD of numbers 290, 690, 966, 157 is 1

Given Input Data is 290, 690, 966, 157

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

Prime Factorization of 290 is 2 x 5 x 29

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 157 is 157

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(290, 690) = 20010

GCD(290, 690) = ( 290 x 690 ) / 20010

GCD(290, 690) = 200100 / 20010

GCD(290, 690) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 966

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

LCM(10, 966) = 4830

GCD(10, 966) = ( 10 x 966 ) / 4830

GCD(10, 966) = 9660 / 4830

GCD(10, 966) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 157

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

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

GCD(2, 157) = 314 / 314

GCD(2, 157) = 1

GCD of 290, 690, 966, 157 is 1

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1. What is the GCD of 290, 690, 966, 157?

GCD of 290, 690, 966, 157 is 1

2. Where do I get the detailed procedure to find GCD of 290, 690, 966, 157?

You can find a detailed procedure to find GCD of 290, 690, 966, 157 on our page.

3. How to find GCD of 290, 690, 966, 157 on a calculator?

You can find the GCD of 290, 690, 966, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.