GCD of 662, 812, 946, 748 Calculator

Given Input numbers are 662, 812, 946, 748

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 662, 812, 946, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 812, 946, 748 is 2.

Therefore, GCD of numbers 662, 812, 946, 748 is 2

Given Input Data is 662, 812, 946, 748

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(662, 812) = 268772

GCD(662, 812) = ( 662 x 812 ) / 268772

GCD(662, 812) = 537544 / 268772

GCD(662, 812) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 662, 812, 946, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 172, 892, 741
• GCD of 707, 331, 845, 688
• GCD of 363, 100, 269, 958
• GCD of 432, 324, 622, 879
• GCD of 146, 729, 503, 861

1. What is the GCD of 662, 812, 946, 748?

GCD of 662, 812, 946, 748 is 2

2. Where do I get the detailed procedure to find GCD of 662, 812, 946, 748?

You can find a detailed procedure to find GCD of 662, 812, 946, 748 on our page.

3. How to find GCD of 662, 812, 946, 748 on a calculator?

You can find the GCD of 662, 812, 946, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.