GCD of 396, 564, 70, 988 Calculator

Given Input numbers are 396, 564, 70, 988

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 396, 564, 70, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 564, 70, 988 is 2.

Therefore, GCD of numbers 396, 564, 70, 988 is 2

Given Input Data is 396, 564, 70, 988

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(396, 564) = 18612

GCD(396, 564) = ( 396 x 564 ) / 18612

GCD(396, 564) = 223344 / 18612

GCD(396, 564) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 70

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

LCM(12, 70) = 420

GCD(12, 70) = ( 12 x 70 ) / 420

GCD(12, 70) = 840 / 420

GCD(12, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 396, 564, 70, 988 is 2

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• GCD of 702, 254, 33, 152
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• GCD of 577, 497, 79, 953

1. What is the GCD of 396, 564, 70, 988?

GCD of 396, 564, 70, 988 is 2

2. Where do I get the detailed procedure to find GCD of 396, 564, 70, 988?

You can find a detailed procedure to find GCD of 396, 564, 70, 988 on our page.

3. How to find GCD of 396, 564, 70, 988 on a calculator?

You can find the GCD of 396, 564, 70, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.