GCD of 790, 280, 958, 726 Calculator

Given Input numbers are 790, 280, 958, 726

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 958

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

1, 2, 479, 958

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 790, 280, 958, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 280, 958, 726 is 2.

Therefore, GCD of numbers 790, 280, 958, 726 is 2

Given Input Data is 790, 280, 958, 726

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 958 is 2 x 479

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(790, 280) = 22120

GCD(790, 280) = ( 790 x 280 ) / 22120

GCD(790, 280) = 221200 / 22120

GCD(790, 280) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 958

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

LCM(10, 958) = 4790

GCD(10, 958) = ( 10 x 958 ) / 4790

GCD(10, 958) = 9580 / 4790

GCD(10, 958) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

GCD of 790, 280, 958, 726 is 2

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1. What is the GCD of 790, 280, 958, 726?

GCD of 790, 280, 958, 726 is 2

2. Where do I get the detailed procedure to find GCD of 790, 280, 958, 726?

You can find a detailed procedure to find GCD of 790, 280, 958, 726 on our page.

3. How to find GCD of 790, 280, 958, 726 on a calculator?

You can find the GCD of 790, 280, 958, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.