GCD of 350, 712, 672, 996 Calculator

Given Input numbers are 350, 712, 672, 996

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

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 350, 712, 672, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 712, 672, 996 is 2.

Therefore, GCD of numbers 350, 712, 672, 996 is 2

Given Input Data is 350, 712, 672, 996

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

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(350, 712) = 124600

GCD(350, 712) = ( 350 x 712 ) / 124600

GCD(350, 712) = 249200 / 124600

GCD(350, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 672

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

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

GCD(2, 672) = 1344 / 672

GCD(2, 672) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

GCD of 350, 712, 672, 996 is 2

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1. What is the GCD of 350, 712, 672, 996?

GCD of 350, 712, 672, 996 is 2

2. Where do I get the detailed procedure to find GCD of 350, 712, 672, 996?

You can find a detailed procedure to find GCD of 350, 712, 672, 996 on our page.

3. How to find GCD of 350, 712, 672, 996 on a calculator?

You can find the GCD of 350, 712, 672, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.