GCD of 436, 632, 148, 906 Calculator

Given Input numbers are 436, 632, 148, 906

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 436, 632, 148, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 632, 148, 906 is 2.

Therefore, GCD of numbers 436, 632, 148, 906 is 2

Given Input Data is 436, 632, 148, 906

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 906 is 2 x 3 x 151

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(436, 632) = 68888

GCD(436, 632) = ( 436 x 632 ) / 68888

GCD(436, 632) = 275552 / 68888

GCD(436, 632) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 148

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

LCM(4, 148) = 148

GCD(4, 148) = ( 4 x 148 ) / 148

GCD(4, 148) = 592 / 148

GCD(4, 148) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 906

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

LCM(4, 906) = 1812

GCD(4, 906) = ( 4 x 906 ) / 1812

GCD(4, 906) = 3624 / 1812

GCD(4, 906) = 2

GCD of 436, 632, 148, 906 is 2

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1. What is the GCD of 436, 632, 148, 906?

GCD of 436, 632, 148, 906 is 2

2. Where do I get the detailed procedure to find GCD of 436, 632, 148, 906?

You can find a detailed procedure to find GCD of 436, 632, 148, 906 on our page.

3. How to find GCD of 436, 632, 148, 906 on a calculator?

You can find the GCD of 436, 632, 148, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.