GCD of 748, 614, 408, 164 Calculator

Given Input numbers are 748, 614, 408, 164

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 748, 614, 408, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 614, 408, 164 is 2.

Therefore, GCD of numbers 748, 614, 408, 164 is 2

Given Input Data is 748, 614, 408, 164

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 614 is 2 x 307

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 164 is 2 x 2 x 41

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(748, 614) = 229636

GCD(748, 614) = ( 748 x 614 ) / 229636

GCD(748, 614) = 459272 / 229636

GCD(748, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 748, 614, 408, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 115, 572, 763
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• GCD of 403, 532, 803, 298
• GCD of 389, 835, 253, 520
• GCD of 280, 151, 921, 166

1. What is the GCD of 748, 614, 408, 164?

GCD of 748, 614, 408, 164 is 2

2. Where do I get the detailed procedure to find GCD of 748, 614, 408, 164?

You can find a detailed procedure to find GCD of 748, 614, 408, 164 on our page.

3. How to find GCD of 748, 614, 408, 164 on a calculator?

You can find the GCD of 748, 614, 408, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.