GCD of 72, 661, 435, 290 Calculator

Given Input numbers are 72, 661, 435, 290

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 661

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

1, 661

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 290

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

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

Greatest Common Divisior

We found the divisors of 72, 661, 435, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 661, 435, 290 is 1.

Therefore, GCD of numbers 72, 661, 435, 290 is 1

Given Input Data is 72, 661, 435, 290

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 661 is 661

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 290 is 2 x 5 x 29

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(72, 661) = 47592

GCD(72, 661) = ( 72 x 661 ) / 47592

GCD(72, 661) = 47592 / 47592

GCD(72, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 72, 661, 435, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 668, 789, 312
• GCD of 44, 432, 605, 540
• GCD of 15, 636, 766, 218
• GCD of 63, 113, 135, 165
• GCD of 98, 334, 801, 497

1. What is the GCD of 72, 661, 435, 290?

GCD of 72, 661, 435, 290 is 1

2. Where do I get the detailed procedure to find GCD of 72, 661, 435, 290?

You can find a detailed procedure to find GCD of 72, 661, 435, 290 on our page.

3. How to find GCD of 72, 661, 435, 290 on a calculator?

You can find the GCD of 72, 661, 435, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.