GCD of 974, 160, 548, 242 Calculator

Given Input numbers are 974, 160, 548, 242

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 974, 160, 548, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 160, 548, 242 is 2.

Therefore, GCD of numbers 974, 160, 548, 242 is 2

Given Input Data is 974, 160, 548, 242

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 242 is 2 x 11 x 11

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(974, 160) = 77920

GCD(974, 160) = ( 974 x 160 ) / 77920

GCD(974, 160) = 155840 / 77920

GCD(974, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 548

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

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

GCD(2, 548) = 1096 / 548

GCD(2, 548) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 242

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

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

GCD(2, 242) = 484 / 242

GCD(2, 242) = 2

GCD of 974, 160, 548, 242 is 2

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1. What is the GCD of 974, 160, 548, 242?

GCD of 974, 160, 548, 242 is 2

2. Where do I get the detailed procedure to find GCD of 974, 160, 548, 242?

You can find a detailed procedure to find GCD of 974, 160, 548, 242 on our page.

3. How to find GCD of 974, 160, 548, 242 on a calculator?

You can find the GCD of 974, 160, 548, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.