GCD of 224, 846, 345, 651 Calculator

Given Input numbers are 224, 846, 345, 651

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 224, 846, 345, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 846, 345, 651 is 1.

Therefore, GCD of numbers 224, 846, 345, 651 is 1

Given Input Data is 224, 846, 345, 651

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 651 is 3 x 7 x 31

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(224, 846) = 94752

GCD(224, 846) = ( 224 x 846 ) / 94752

GCD(224, 846) = 189504 / 94752

GCD(224, 846) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

GCD of 224, 846, 345, 651 is 1

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1. What is the GCD of 224, 846, 345, 651?

GCD of 224, 846, 345, 651 is 1

2. Where do I get the detailed procedure to find GCD of 224, 846, 345, 651?

You can find a detailed procedure to find GCD of 224, 846, 345, 651 on our page.

3. How to find GCD of 224, 846, 345, 651 on a calculator?

You can find the GCD of 224, 846, 345, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.