GCD of 849, 672, 51, 567 Calculator

Given Input numbers are 849, 672, 51, 567

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 849, 672, 51, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 672, 51, 567 is 3.

Therefore, GCD of numbers 849, 672, 51, 567 is 3

Given Input Data is 849, 672, 51, 567

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

Prime Factorization of 849 is 3 x 283

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(849, 672) = 190176

GCD(849, 672) = ( 849 x 672 ) / 190176

GCD(849, 672) = 570528 / 190176

GCD(849, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 567

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

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

GCD(3, 567) = 1701 / 567

GCD(3, 567) = 3

GCD of 849, 672, 51, 567 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 265, 63, 445
• GCD of 171, 680, 37, 505
• GCD of 994, 377, 99, 226
• GCD of 981, 694, 72, 928
• GCD of 880, 568, 87, 104

1. What is the GCD of 849, 672, 51, 567?

GCD of 849, 672, 51, 567 is 3

2. Where do I get the detailed procedure to find GCD of 849, 672, 51, 567?

You can find a detailed procedure to find GCD of 849, 672, 51, 567 on our page.

3. How to find GCD of 849, 672, 51, 567 on a calculator?

You can find the GCD of 849, 672, 51, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.