GCD of 732, 718, 878, 466 Calculator

Given Input numbers are 732, 718, 878, 466

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

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 732, 718, 878, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 718, 878, 466 is 2.

Therefore, GCD of numbers 732, 718, 878, 466 is 2

Given Input Data is 732, 718, 878, 466

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 718 is 2 x 359

Prime Factorization of 878 is 2 x 439

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(732, 718) = 262788

GCD(732, 718) = ( 732 x 718 ) / 262788

GCD(732, 718) = 525576 / 262788

GCD(732, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 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 732, 718, 878, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 549, 241, 319
• GCD of 648, 689, 250, 763
• GCD of 342, 926, 765, 221
• GCD of 921, 464, 557, 311
• GCD of 253, 656, 409, 372

1. What is the GCD of 732, 718, 878, 466?

GCD of 732, 718, 878, 466 is 2

2. Where do I get the detailed procedure to find GCD of 732, 718, 878, 466?

You can find a detailed procedure to find GCD of 732, 718, 878, 466 on our page.

3. How to find GCD of 732, 718, 878, 466 on a calculator?

You can find the GCD of 732, 718, 878, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.