GCD of 118, 153, 674, 973 Calculator

Given Input numbers are 118, 153, 674, 973

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

Divisors of 118

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

1, 2, 59, 118

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 118, 153, 674, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 153, 674, 973 is 1.

Therefore, GCD of numbers 118, 153, 674, 973 is 1

Given Input Data is 118, 153, 674, 973

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 674 is 2 x 337

Prime Factorization of 973 is 7 x 139

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(118, 153) = 18054

GCD(118, 153) = ( 118 x 153 ) / 18054

GCD(118, 153) = 18054 / 18054

GCD(118, 153) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 118, 153, 674, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 771, 709, 453
• GCD of 646, 141, 302, 586
• GCD of 278, 525, 104, 208
• GCD of 646, 653, 974, 111
• GCD of 406, 785, 645, 788

1. What is the GCD of 118, 153, 674, 973?

GCD of 118, 153, 674, 973 is 1

2. Where do I get the detailed procedure to find GCD of 118, 153, 674, 973?

You can find a detailed procedure to find GCD of 118, 153, 674, 973 on our page.

3. How to find GCD of 118, 153, 674, 973 on a calculator?

You can find the GCD of 118, 153, 674, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.