GCD of 40, 6, 60, 98 Calculator

Given Input numbers are 40, 6, 60, 98

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 98

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

1, 2, 7, 14, 49, 98

Greatest Common Divisior

We found the divisors of 40, 6, 60, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 6, 60, 98 is 2.

Therefore, GCD of numbers 40, 6, 60, 98 is 2

Given Input Data is 40, 6, 60, 98

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 6 is 2 x 3

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 98 is 2 x 7 x 7

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(40, 6) = 120

GCD(40, 6) = ( 40 x 6 ) / 120

GCD(40, 6) = 240 / 120

GCD(40, 6) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

GCD of 40, 6, 60, 98 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 4, 10, 80
• GCD of 56, 4, 29, 28
• GCD of 79, 7, 55, 79
• GCD of 80, 8, 27, 41
• GCD of 15, 1, 58, 92

1. What is the GCD of 40, 6, 60, 98?

GCD of 40, 6, 60, 98 is 2

2. Where do I get the detailed procedure to find GCD of 40, 6, 60, 98?

You can find a detailed procedure to find GCD of 40, 6, 60, 98 on our page.

3. How to find GCD of 40, 6, 60, 98 on a calculator?

You can find the GCD of 40, 6, 60, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.