GCD of 276, 858, 15, 651 Calculator

Given Input numbers are 276, 858, 15, 651

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 276, 858, 15, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 858, 15, 651 is 3.

Therefore, GCD of numbers 276, 858, 15, 651 is 3

Given Input Data is 276, 858, 15, 651

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 15 is 3 x 5

Prime Factorization of 651 is 3 x 7 x 31

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(276, 858) = 39468

GCD(276, 858) = ( 276 x 858 ) / 39468

GCD(276, 858) = 236808 / 39468

GCD(276, 858) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 15

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

LCM(6, 15) = 30

GCD(6, 15) = ( 6 x 15 ) / 30

GCD(6, 15) = 90 / 30

GCD(6, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 651

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

LCM(3, 651) = 651

GCD(3, 651) = ( 3 x 651 ) / 651

GCD(3, 651) = 1953 / 651

GCD(3, 651) = 3

GCD of 276, 858, 15, 651 is 3

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1. What is the GCD of 276, 858, 15, 651?

GCD of 276, 858, 15, 651 is 3

2. Where do I get the detailed procedure to find GCD of 276, 858, 15, 651?

You can find a detailed procedure to find GCD of 276, 858, 15, 651 on our page.

3. How to find GCD of 276, 858, 15, 651 on a calculator?

You can find the GCD of 276, 858, 15, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.