Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 148, 633, 402, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 633, 402, 253 is 1
GCD(148, 633, 402, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 633, 402, 253 is 1
GCD(148, 633, 402, 253) = 1
Given Input numbers are 148, 633, 402, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 148, 633, 402, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 633, 402, 253 is 1.
Therefore, GCD of numbers 148, 633, 402, 253 is 1
Given Input Data is 148, 633, 402, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 633 is 3 x 211
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 253 is 11 x 23
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(148, 633) = 93684
GCD(148, 633) = ( 148 x 633 ) / 93684
GCD(148, 633) = 93684 / 93684
GCD(148, 633) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 148, 633, 402, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 633, 402, 253?
GCD of 148, 633, 402, 253 is 1
2. Where do I get the detailed procedure to find GCD of 148, 633, 402, 253?
You can find a detailed procedure to find GCD of 148, 633, 402, 253 on our page.
3. How to find GCD of 148, 633, 402, 253 on a calculator?
You can find the GCD of 148, 633, 402, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.