GCD of 71, 672, 840, 450 Calculator

Given Input numbers are 71, 672, 840, 450

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 71, 672, 840, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 672, 840, 450 is 1.

Therefore, GCD of numbers 71, 672, 840, 450 is 1

Given Input Data is 71, 672, 840, 450

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

Prime Factorization of 71 is 71

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

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(71, 672) = 47712

GCD(71, 672) = ( 71 x 672 ) / 47712

GCD(71, 672) = 47712 / 47712

GCD(71, 672) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 71, 672, 840, 450 is 1

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1. What is the GCD of 71, 672, 840, 450?

GCD of 71, 672, 840, 450 is 1

2. Where do I get the detailed procedure to find GCD of 71, 672, 840, 450?

You can find a detailed procedure to find GCD of 71, 672, 840, 450 on our page.

3. How to find GCD of 71, 672, 840, 450 on a calculator?

You can find the GCD of 71, 672, 840, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.