GCD of 708, 756, 92, 350 Calculator

Given Input numbers are 708, 756, 92, 350

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 92

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

1, 2, 4, 23, 46, 92

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 708, 756, 92, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 756, 92, 350 is 2.

Therefore, GCD of numbers 708, 756, 92, 350 is 2

Given Input Data is 708, 756, 92, 350

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(708, 756) = 44604

GCD(708, 756) = ( 708 x 756 ) / 44604

GCD(708, 756) = 535248 / 44604

GCD(708, 756) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 92

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

LCM(12, 92) = 276

GCD(12, 92) = ( 12 x 92 ) / 276

GCD(12, 92) = 1104 / 276

GCD(12, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 350

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

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

GCD(4, 350) = 1400 / 700

GCD(4, 350) = 2

GCD of 708, 756, 92, 350 is 2

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1. What is the GCD of 708, 756, 92, 350?

GCD of 708, 756, 92, 350 is 2

2. Where do I get the detailed procedure to find GCD of 708, 756, 92, 350?

You can find a detailed procedure to find GCD of 708, 756, 92, 350 on our page.

3. How to find GCD of 708, 756, 92, 350 on a calculator?

You can find the GCD of 708, 756, 92, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.