GCD of 970, 276, 66, 552 Calculator

Given Input numbers are 970, 276, 66, 552

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 970, 276, 66, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 276, 66, 552 is 2.

Therefore, GCD of numbers 970, 276, 66, 552 is 2

Given Input Data is 970, 276, 66, 552

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

Prime Factorization of 970 is 2 x 5 x 97

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

Prime Factorization of 66 is 2 x 3 x 11

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(970, 276) = 133860

GCD(970, 276) = ( 970 x 276 ) / 133860

GCD(970, 276) = 267720 / 133860

GCD(970, 276) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 552

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

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

GCD(2, 552) = 1104 / 552

GCD(2, 552) = 2

GCD of 970, 276, 66, 552 is 2

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1. What is the GCD of 970, 276, 66, 552?

GCD of 970, 276, 66, 552 is 2

2. Where do I get the detailed procedure to find GCD of 970, 276, 66, 552?

You can find a detailed procedure to find GCD of 970, 276, 66, 552 on our page.

3. How to find GCD of 970, 276, 66, 552 on a calculator?

You can find the GCD of 970, 276, 66, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.