GCD of 760, 358, 44, 368 Calculator

Given Input numbers are 760, 358, 44, 368

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

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 760, 358, 44, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 358, 44, 368 is 2.

Therefore, GCD of numbers 760, 358, 44, 368 is 2

Given Input Data is 760, 358, 44, 368

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

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(760, 358) = 136040

GCD(760, 358) = ( 760 x 358 ) / 136040

GCD(760, 358) = 272080 / 136040

GCD(760, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 760, 358, 44, 368 is 2

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• GCD of 963, 132, 42, 187
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1. What is the GCD of 760, 358, 44, 368?

GCD of 760, 358, 44, 368 is 2

2. Where do I get the detailed procedure to find GCD of 760, 358, 44, 368?

You can find a detailed procedure to find GCD of 760, 358, 44, 368 on our page.

3. How to find GCD of 760, 358, 44, 368 on a calculator?

You can find the GCD of 760, 358, 44, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.