GCD of 101, 185, 53, 137 Calculator

Given Input numbers are 101, 185, 53, 137

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 101, 185, 53, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 185, 53, 137 is 1.

Therefore, GCD of numbers 101, 185, 53, 137 is 1

Given Input Data is 101, 185, 53, 137

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

Prime Factorization of 101 is 101

Prime Factorization of 185 is 5 x 37

Prime Factorization of 53 is 53

Prime Factorization of 137 is 137

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(101, 185) = 18685

GCD(101, 185) = ( 101 x 185 ) / 18685

GCD(101, 185) = 18685 / 18685

GCD(101, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 101, 185, 53, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 169, 95, 415
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• GCD of 858, 321, 76, 551
• GCD of 949, 686, 65, 195
• GCD of 238, 813, 17, 686

1. What is the GCD of 101, 185, 53, 137?

GCD of 101, 185, 53, 137 is 1

2. Where do I get the detailed procedure to find GCD of 101, 185, 53, 137?

You can find a detailed procedure to find GCD of 101, 185, 53, 137 on our page.

3. How to find GCD of 101, 185, 53, 137 on a calculator?

You can find the GCD of 101, 185, 53, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.