GCD of 672, 130, 154, 450 Calculator

Given Input numbers are 672, 130, 154, 450

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

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 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 672, 130, 154, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 130, 154, 450 is 2.

Therefore, GCD of numbers 672, 130, 154, 450 is 2

Given Input Data is 672, 130, 154, 450

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(672, 130) = 43680

GCD(672, 130) = ( 672 x 130 ) / 43680

GCD(672, 130) = 87360 / 43680

GCD(672, 130) = 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 450

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

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

GCD(2, 450) = 900 / 450

GCD(2, 450) = 2

GCD of 672, 130, 154, 450 is 2

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1. What is the GCD of 672, 130, 154, 450?

GCD of 672, 130, 154, 450 is 2

2. Where do I get the detailed procedure to find GCD of 672, 130, 154, 450?

You can find a detailed procedure to find GCD of 672, 130, 154, 450 on our page.

3. How to find GCD of 672, 130, 154, 450 on a calculator?

You can find the GCD of 672, 130, 154, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.