GCD of 470, 880, 366, 948 Calculator

Given Input numbers are 470, 880, 366, 948

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

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 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 470, 880, 366, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 880, 366, 948 is 2.

Therefore, GCD of numbers 470, 880, 366, 948 is 2

Given Input Data is 470, 880, 366, 948

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(470, 880) = 41360

GCD(470, 880) = ( 470 x 880 ) / 41360

GCD(470, 880) = 413600 / 41360

GCD(470, 880) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 366

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

LCM(10, 366) = 1830

GCD(10, 366) = ( 10 x 366 ) / 1830

GCD(10, 366) = 3660 / 1830

GCD(10, 366) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

GCD of 470, 880, 366, 948 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 204, 996, 943
• GCD of 955, 785, 520, 173
• GCD of 592, 660, 779, 775
• GCD of 578, 437, 472, 918
• GCD of 950, 150, 275, 468

1. What is the GCD of 470, 880, 366, 948?

GCD of 470, 880, 366, 948 is 2

2. Where do I get the detailed procedure to find GCD of 470, 880, 366, 948?

You can find a detailed procedure to find GCD of 470, 880, 366, 948 on our page.

3. How to find GCD of 470, 880, 366, 948 on a calculator?

You can find the GCD of 470, 880, 366, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.