GCD of 694, 896, 972, 988 Calculator

Given Input numbers are 694, 896, 972, 988

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 694, 896, 972, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 896, 972, 988 is 2.

Therefore, GCD of numbers 694, 896, 972, 988 is 2

Given Input Data is 694, 896, 972, 988

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(694, 896) = 310912

GCD(694, 896) = ( 694 x 896 ) / 310912

GCD(694, 896) = 621824 / 310912

GCD(694, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 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 694, 896, 972, 988 is 2

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1. What is the GCD of 694, 896, 972, 988?

GCD of 694, 896, 972, 988 is 2

2. Where do I get the detailed procedure to find GCD of 694, 896, 972, 988?

You can find a detailed procedure to find GCD of 694, 896, 972, 988 on our page.

3. How to find GCD of 694, 896, 972, 988 on a calculator?

You can find the GCD of 694, 896, 972, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.