GCD of 354, 200, 92, 760 Calculator

Given Input numbers are 354, 200, 92, 760

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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

Greatest Common Divisior

We found the divisors of 354, 200, 92, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 200, 92, 760 is 2.

Therefore, GCD of numbers 354, 200, 92, 760 is 2

Given Input Data is 354, 200, 92, 760

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 92 is 2 x 2 x 23

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

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(354, 200) = 35400

GCD(354, 200) = ( 354 x 200 ) / 35400

GCD(354, 200) = 70800 / 35400

GCD(354, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

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

GCD of 354, 200, 92, 760 is 2

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1. What is the GCD of 354, 200, 92, 760?

GCD of 354, 200, 92, 760 is 2

2. Where do I get the detailed procedure to find GCD of 354, 200, 92, 760?

You can find a detailed procedure to find GCD of 354, 200, 92, 760 on our page.

3. How to find GCD of 354, 200, 92, 760 on a calculator?

You can find the GCD of 354, 200, 92, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.