GCD of 690, 276, 276, 552 Calculator

Given Input numbers are 690, 276, 276, 552

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 690, 276, 276, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 276, 276, 552 is 138.

Therefore, GCD of numbers 690, 276, 276, 552 is 138

Given Input Data is 690, 276, 276, 552

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

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

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Highest common occurrences in the given inputs are 2¹ x 23¹ x 3¹

Multiplying them we get the GCD as 138

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(690, 276) = 1380

GCD(690, 276) = ( 690 x 276 ) / 1380

GCD(690, 276) = 190440 / 1380

GCD(690, 276) = 138

Step2:

Here we consider the GCD from the above i.e. 138 as first number and the next as 276

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

LCM(138, 276) = 276

GCD(138, 276) = ( 138 x 276 ) / 276

GCD(138, 276) = 38088 / 276

GCD(138, 276) = 138

Step3:

Here we consider the GCD from the above i.e. 138 as first number and the next as 552

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

LCM(138, 552) = 552

GCD(138, 552) = ( 138 x 552 ) / 552

GCD(138, 552) = 76176 / 552

GCD(138, 552) = 138

GCD of 690, 276, 276, 552 is 138

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1. What is the GCD of 690, 276, 276, 552?

GCD of 690, 276, 276, 552 is 138

2. Where do I get the detailed procedure to find GCD of 690, 276, 276, 552?

You can find a detailed procedure to find GCD of 690, 276, 276, 552 on our page.

3. How to find GCD of 690, 276, 276, 552 on a calculator?

You can find the GCD of 690, 276, 276, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.