GCD of 976, 170, 546, 706 Calculator

Given Input numbers are 976, 170, 546, 706

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 976, 170, 546, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 170, 546, 706 is 2.

Therefore, GCD of numbers 976, 170, 546, 706 is 2

Given Input Data is 976, 170, 546, 706

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 706 is 2 x 353

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(976, 170) = 82960

GCD(976, 170) = ( 976 x 170 ) / 82960

GCD(976, 170) = 165920 / 82960

GCD(976, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

GCD of 976, 170, 546, 706 is 2

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1. What is the GCD of 976, 170, 546, 706?

GCD of 976, 170, 546, 706 is 2

2. Where do I get the detailed procedure to find GCD of 976, 170, 546, 706?

You can find a detailed procedure to find GCD of 976, 170, 546, 706 on our page.

3. How to find GCD of 976, 170, 546, 706 on a calculator?

You can find the GCD of 976, 170, 546, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.