GCD of 10, 792, 760, 958 Calculator

Given Input numbers are 10, 792, 760, 958

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 10, 792, 760, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 792, 760, 958 is 2.

Therefore, GCD of numbers 10, 792, 760, 958 is 2

Given Input Data is 10, 792, 760, 958

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 958 is 2 x 479

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(10, 792) = 3960

GCD(10, 792) = ( 10 x 792 ) / 3960

GCD(10, 792) = 7920 / 3960

GCD(10, 792) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

GCD of 10, 792, 760, 958 is 2

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• GCD of 68, 775, 544, 384
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1. What is the GCD of 10, 792, 760, 958?

GCD of 10, 792, 760, 958 is 2

2. Where do I get the detailed procedure to find GCD of 10, 792, 760, 958?

You can find a detailed procedure to find GCD of 10, 792, 760, 958 on our page.

3. How to find GCD of 10, 792, 760, 958 on a calculator?

You can find the GCD of 10, 792, 760, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.