GCD of 942, 434, 64, 224 Calculator

Given Input numbers are 942, 434, 64, 224

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

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 942, 434, 64, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 434, 64, 224 is 2.

Therefore, GCD of numbers 942, 434, 64, 224 is 2

Given Input Data is 942, 434, 64, 224

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(942, 434) = 204414

GCD(942, 434) = ( 942 x 434 ) / 204414

GCD(942, 434) = 408828 / 204414

GCD(942, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 942, 434, 64, 224 is 2

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1. What is the GCD of 942, 434, 64, 224?

GCD of 942, 434, 64, 224 is 2

2. Where do I get the detailed procedure to find GCD of 942, 434, 64, 224?

You can find a detailed procedure to find GCD of 942, 434, 64, 224 on our page.

3. How to find GCD of 942, 434, 64, 224 on a calculator?

You can find the GCD of 942, 434, 64, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.