GCD of 180, 140, 98, 666 Calculator

Given Input numbers are 180, 140, 98, 666

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 180, 140, 98, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 140, 98, 666 is 2.

Therefore, GCD of numbers 180, 140, 98, 666 is 2

Given Input Data is 180, 140, 98, 666

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 666 is 2 x 3 x 3 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(180, 140) = 1260

GCD(180, 140) = ( 180 x 140 ) / 1260

GCD(180, 140) = 25200 / 1260

GCD(180, 140) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 98

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

LCM(20, 98) = 980

GCD(20, 98) = ( 20 x 98 ) / 980

GCD(20, 98) = 1960 / 980

GCD(20, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 666

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

LCM(2, 666) = 666

GCD(2, 666) = ( 2 x 666 ) / 666

GCD(2, 666) = 1332 / 666

GCD(2, 666) = 2

GCD of 180, 140, 98, 666 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 797, 92, 769
• GCD of 565, 376, 51, 357
• GCD of 432, 402, 66, 347
• GCD of 600, 382, 90, 691
• GCD of 810, 924, 42, 270

1. What is the GCD of 180, 140, 98, 666?

GCD of 180, 140, 98, 666 is 2

2. Where do I get the detailed procedure to find GCD of 180, 140, 98, 666?

You can find a detailed procedure to find GCD of 180, 140, 98, 666 on our page.

3. How to find GCD of 180, 140, 98, 666 on a calculator?

You can find the GCD of 180, 140, 98, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.