GCD of 946, 496, 141, 118 Calculator

Given Input numbers are 946, 496, 141, 118

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 946, 496, 141, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 496, 141, 118 is 1.

Therefore, GCD of numbers 946, 496, 141, 118 is 1

Given Input Data is 946, 496, 141, 118

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 141 is 3 x 47

Prime Factorization of 118 is 2 x 59

The above numbers do not have any common prime factor. So GCD is 1

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(946, 496) = 234608

GCD(946, 496) = ( 946 x 496 ) / 234608

GCD(946, 496) = 469216 / 234608

GCD(946, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 946, 496, 141, 118 is 1

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1. What is the GCD of 946, 496, 141, 118?

GCD of 946, 496, 141, 118 is 1

2. Where do I get the detailed procedure to find GCD of 946, 496, 141, 118?

You can find a detailed procedure to find GCD of 946, 496, 141, 118 on our page.

3. How to find GCD of 946, 496, 141, 118 on a calculator?

You can find the GCD of 946, 496, 141, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.