GCD of 914, 212, 70, 500 Calculator

Given Input numbers are 914, 212, 70, 500

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 914, 212, 70, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 212, 70, 500 is 2.

Therefore, GCD of numbers 914, 212, 70, 500 is 2

Given Input Data is 914, 212, 70, 500

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(914, 212) = 96884

GCD(914, 212) = ( 914 x 212 ) / 96884

GCD(914, 212) = 193768 / 96884

GCD(914, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 914, 212, 70, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 116, 85, 114
• GCD of 979, 884, 48, 586
• GCD of 375, 259, 90, 169
• GCD of 345, 170, 49, 463
• GCD of 498, 407, 49, 994

1. What is the GCD of 914, 212, 70, 500?

GCD of 914, 212, 70, 500 is 2

2. Where do I get the detailed procedure to find GCD of 914, 212, 70, 500?

You can find a detailed procedure to find GCD of 914, 212, 70, 500 on our page.

3. How to find GCD of 914, 212, 70, 500 on a calculator?

You can find the GCD of 914, 212, 70, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.