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, 757, 359, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 757, 359, 169 is 1
GCD(148, 757, 359, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 757, 359, 169 is 1
GCD(148, 757, 359, 169) = 1
Given Input numbers are 148, 757, 359, 169
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 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 148, 757, 359, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 757, 359, 169 is 1.
Therefore, GCD of numbers 148, 757, 359, 169 is 1
Given Input Data is 148, 757, 359, 169
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 757 is 757
Prime Factorization of 359 is 359
Prime Factorization of 169 is 13 x 13
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, 757) = 112036
GCD(148, 757) = ( 148 x 757 ) / 112036
GCD(148, 757) = 112036 / 112036
GCD(148, 757) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
GCD of 148, 757, 359, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 757, 359, 169?
GCD of 148, 757, 359, 169 is 1
2. Where do I get the detailed procedure to find GCD of 148, 757, 359, 169?
You can find a detailed procedure to find GCD of 148, 757, 359, 169 on our page.
3. How to find GCD of 148, 757, 359, 169 on a calculator?
You can find the GCD of 148, 757, 359, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.