GCD of 152, 940, 56, 706 Calculator

Given Input numbers are 152, 940, 56, 706

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 152, 940, 56, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 940, 56, 706 is 2.

Therefore, GCD of numbers 152, 940, 56, 706 is 2

Given Input Data is 152, 940, 56, 706

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(152, 940) = 35720

GCD(152, 940) = ( 152 x 940 ) / 35720

GCD(152, 940) = 142880 / 35720

GCD(152, 940) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 56

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

LCM(4, 56) = 56

GCD(4, 56) = ( 4 x 56 ) / 56

GCD(4, 56) = 224 / 56

GCD(4, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 706

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

LCM(4, 706) = 1412

GCD(4, 706) = ( 4 x 706 ) / 1412

GCD(4, 706) = 2824 / 1412

GCD(4, 706) = 2

GCD of 152, 940, 56, 706 is 2

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• GCD of 980, 351, 23, 479
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1. What is the GCD of 152, 940, 56, 706?

GCD of 152, 940, 56, 706 is 2

2. Where do I get the detailed procedure to find GCD of 152, 940, 56, 706?

You can find a detailed procedure to find GCD of 152, 940, 56, 706 on our page.

3. How to find GCD of 152, 940, 56, 706 on a calculator?

You can find the GCD of 152, 940, 56, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.