GCD of 70, 828, 460, 118 Calculator

Given Input numbers are 70, 828, 460, 118

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 70, 828, 460, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 828, 460, 118 is 2.

Therefore, GCD of numbers 70, 828, 460, 118 is 2

Given Input Data is 70, 828, 460, 118

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 118 is 2 x 59

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(70, 828) = 28980

GCD(70, 828) = ( 70 x 828 ) / 28980

GCD(70, 828) = 57960 / 28980

GCD(70, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

GCD of 70, 828, 460, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 859, 493, 542
• GCD of 41, 152, 766, 601
• GCD of 62, 542, 691, 346
• GCD of 58, 440, 838, 133
• GCD of 90, 901, 710, 677

1. What is the GCD of 70, 828, 460, 118?

GCD of 70, 828, 460, 118 is 2

2. Where do I get the detailed procedure to find GCD of 70, 828, 460, 118?

You can find a detailed procedure to find GCD of 70, 828, 460, 118 on our page.

3. How to find GCD of 70, 828, 460, 118 on a calculator?

You can find the GCD of 70, 828, 460, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.