GCD of 218, 772, 70, 466 Calculator

Given Input numbers are 218, 772, 70, 466

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 218, 772, 70, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 772, 70, 466 is 2.

Therefore, GCD of numbers 218, 772, 70, 466 is 2

Given Input Data is 218, 772, 70, 466

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 466 is 2 x 233

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(218, 772) = 84148

GCD(218, 772) = ( 218 x 772 ) / 84148

GCD(218, 772) = 168296 / 84148

GCD(218, 772) = 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 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 218, 772, 70, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 261, 19, 852
• GCD of 893, 925, 17, 156
• GCD of 377, 552, 11, 139
• GCD of 375, 464, 80, 425
• GCD of 616, 782, 53, 437

1. What is the GCD of 218, 772, 70, 466?

GCD of 218, 772, 70, 466 is 2

2. Where do I get the detailed procedure to find GCD of 218, 772, 70, 466?

You can find a detailed procedure to find GCD of 218, 772, 70, 466 on our page.

3. How to find GCD of 218, 772, 70, 466 on a calculator?

You can find the GCD of 218, 772, 70, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.