GCD of 70, 992, 470, 187 Calculator

Given Input numbers are 70, 992, 470, 187

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 70, 992, 470, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 992, 470, 187 is 1.

Therefore, GCD of numbers 70, 992, 470, 187 is 1

Given Input Data is 70, 992, 470, 187

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 187 is 11 x 17

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(70, 992) = 34720

GCD(70, 992) = ( 70 x 992 ) / 34720

GCD(70, 992) = 69440 / 34720

GCD(70, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

GCD of 70, 992, 470, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 813, 812, 792
• GCD of 35, 186, 805, 205
• GCD of 47, 844, 825, 598
• GCD of 98, 721, 818, 185
• GCD of 27, 180, 339, 706

1. What is the GCD of 70, 992, 470, 187?

GCD of 70, 992, 470, 187 is 1

2. Where do I get the detailed procedure to find GCD of 70, 992, 470, 187?

You can find a detailed procedure to find GCD of 70, 992, 470, 187 on our page.

3. How to find GCD of 70, 992, 470, 187 on a calculator?

You can find the GCD of 70, 992, 470, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.