GCD of 53, 165, 139, 949 Calculator

Given Input numbers are 53, 165, 139, 949

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

Divisors of 53

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

1, 53

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 53, 165, 139, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 165, 139, 949 is 1.

Therefore, GCD of numbers 53, 165, 139, 949 is 1

Given Input Data is 53, 165, 139, 949

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

Prime Factorization of 53 is 53

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 139 is 139

Prime Factorization of 949 is 13 x 73

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(53, 165) = 8745

GCD(53, 165) = ( 53 x 165 ) / 8745

GCD(53, 165) = 8745 / 8745

GCD(53, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 53, 165, 139, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 928, 649, 188
• GCD of 16, 145, 618, 983
• GCD of 21, 416, 522, 243
• GCD of 91, 586, 650, 988
• GCD of 54, 752, 880, 838

1. What is the GCD of 53, 165, 139, 949?

GCD of 53, 165, 139, 949 is 1

2. Where do I get the detailed procedure to find GCD of 53, 165, 139, 949?

You can find a detailed procedure to find GCD of 53, 165, 139, 949 on our page.

3. How to find GCD of 53, 165, 139, 949 on a calculator?

You can find the GCD of 53, 165, 139, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.