GCD of 896, 102, 942, 938 Calculator

Given Input numbers are 896, 102, 942, 938

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

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 896, 102, 942, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 102, 942, 938 is 2.

Therefore, GCD of numbers 896, 102, 942, 938 is 2

Given Input Data is 896, 102, 942, 938

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

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 938 is 2 x 7 x 67

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(896, 102) = 45696

GCD(896, 102) = ( 896 x 102 ) / 45696

GCD(896, 102) = 91392 / 45696

GCD(896, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

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

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

GCD of 896, 102, 942, 938 is 2

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1. What is the GCD of 896, 102, 942, 938?

GCD of 896, 102, 942, 938 is 2

2. Where do I get the detailed procedure to find GCD of 896, 102, 942, 938?

You can find a detailed procedure to find GCD of 896, 102, 942, 938 on our page.

3. How to find GCD of 896, 102, 942, 938 on a calculator?

You can find the GCD of 896, 102, 942, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.