GCD of 752, 430, 154, 918 Calculator

Given Input numbers are 752, 430, 154, 918

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 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 752, 430, 154, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 430, 154, 918 is 2.

Therefore, GCD of numbers 752, 430, 154, 918 is 2

Given Input Data is 752, 430, 154, 918

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 430 is 2 x 5 x 43

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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, 430) = 161680

GCD(752, 430) = ( 752 x 430 ) / 161680

GCD(752, 430) = 323360 / 161680

GCD(752, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 154

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

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

GCD(2, 154) = 308 / 154

GCD(2, 154) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

GCD of 752, 430, 154, 918 is 2

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• GCD of 400, 798, 419, 497

1. What is the GCD of 752, 430, 154, 918?

GCD of 752, 430, 154, 918 is 2

2. Where do I get the detailed procedure to find GCD of 752, 430, 154, 918?

You can find a detailed procedure to find GCD of 752, 430, 154, 918 on our page.

3. How to find GCD of 752, 430, 154, 918 on a calculator?

You can find the GCD of 752, 430, 154, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.