GCD of 752, 172, 240, 214 Calculator

Given Input numbers are 752, 172, 240, 214

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 752, 172, 240, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 172, 240, 214 is 2.

Therefore, GCD of numbers 752, 172, 240, 214 is 2

Given Input Data is 752, 172, 240, 214

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 214 is 2 x 107

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(752, 172) = 32336

GCD(752, 172) = ( 752 x 172 ) / 32336

GCD(752, 172) = 129344 / 32336

GCD(752, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 240

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

LCM(4, 240) = 240

GCD(4, 240) = ( 4 x 240 ) / 240

GCD(4, 240) = 960 / 240

GCD(4, 240) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 214

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

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

GCD(4, 214) = 856 / 428

GCD(4, 214) = 2

GCD of 752, 172, 240, 214 is 2

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1. What is the GCD of 752, 172, 240, 214?

GCD of 752, 172, 240, 214 is 2

2. Where do I get the detailed procedure to find GCD of 752, 172, 240, 214?

You can find a detailed procedure to find GCD of 752, 172, 240, 214 on our page.

3. How to find GCD of 752, 172, 240, 214 on a calculator?

You can find the GCD of 752, 172, 240, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.