GCD of 90, 292, 661, 142 Calculator

Given Input numbers are 90, 292, 661, 142

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 90, 292, 661, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 292, 661, 142 is 1.

Therefore, GCD of numbers 90, 292, 661, 142 is 1

Given Input Data is 90, 292, 661, 142

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 661 is 661

Prime Factorization of 142 is 2 x 71

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(90, 292) = 13140

GCD(90, 292) = ( 90 x 292 ) / 13140

GCD(90, 292) = 26280 / 13140

GCD(90, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 661

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

LCM(2, 661) = 1322

GCD(2, 661) = ( 2 x 661 ) / 1322

GCD(2, 661) = 1322 / 1322

GCD(2, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 90, 292, 661, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 839, 817, 700
• GCD of 71, 410, 574, 661
• GCD of 64, 741, 634, 876
• GCD of 95, 380, 180, 909
• GCD of 92, 484, 217, 282

1. What is the GCD of 90, 292, 661, 142?

GCD of 90, 292, 661, 142 is 1

2. Where do I get the detailed procedure to find GCD of 90, 292, 661, 142?

You can find a detailed procedure to find GCD of 90, 292, 661, 142 on our page.

3. How to find GCD of 90, 292, 661, 142 on a calculator?

You can find the GCD of 90, 292, 661, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.