GCD of 394, 664, 752, 126 Calculator

Given Input numbers are 394, 664, 752, 126

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 394, 664, 752, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 664, 752, 126 is 2.

Therefore, GCD of numbers 394, 664, 752, 126 is 2

Given Input Data is 394, 664, 752, 126

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

Prime Factorization of 126 is 2 x 3 x 3 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(394, 664) = 130808

GCD(394, 664) = ( 394 x 664 ) / 130808

GCD(394, 664) = 261616 / 130808

GCD(394, 664) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

GCD of 394, 664, 752, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 826, 548, 567
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• GCD of 398, 931, 609, 441
• GCD of 473, 872, 812, 260
• GCD of 538, 287, 540, 333

1. What is the GCD of 394, 664, 752, 126?

GCD of 394, 664, 752, 126 is 2

2. Where do I get the detailed procedure to find GCD of 394, 664, 752, 126?

You can find a detailed procedure to find GCD of 394, 664, 752, 126 on our page.

3. How to find GCD of 394, 664, 752, 126 on a calculator?

You can find the GCD of 394, 664, 752, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.