GCD of 154, 741, 118, 498 Calculator

Given Input numbers are 154, 741, 118, 498

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 118

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

1, 2, 59, 118

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 154, 741, 118, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 741, 118, 498 is 1.

Therefore, GCD of numbers 154, 741, 118, 498 is 1

Given Input Data is 154, 741, 118, 498

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 118 is 2 x 59

Prime Factorization of 498 is 2 x 3 x 83

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(154, 741) = 114114

GCD(154, 741) = ( 154 x 741 ) / 114114

GCD(154, 741) = 114114 / 114114

GCD(154, 741) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 154, 741, 118, 498 is 1

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1. What is the GCD of 154, 741, 118, 498?

GCD of 154, 741, 118, 498 is 1

2. Where do I get the detailed procedure to find GCD of 154, 741, 118, 498?

You can find a detailed procedure to find GCD of 154, 741, 118, 498 on our page.

3. How to find GCD of 154, 741, 118, 498 on a calculator?

You can find the GCD of 154, 741, 118, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.