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 140, 158, 519, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 158, 519, 745 is 1
GCD(140, 158, 519, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 158, 519, 745 is 1
GCD(140, 158, 519, 745) = 1
Given Input numbers are 140, 158, 519, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 140, 158, 519, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 158, 519, 745 is 1.
Therefore, GCD of numbers 140, 158, 519, 745 is 1
Given Input Data is 140, 158, 519, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 158 is 2 x 79
Prime Factorization of 519 is 3 x 173
Prime Factorization of 745 is 5 x 149
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(140, 158) = 11060
GCD(140, 158) = ( 140 x 158 ) / 11060
GCD(140, 158) = 22120 / 11060
GCD(140, 158) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 519
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 519) = 1038
GCD(2, 519) = ( 2 x 519 ) / 1038
GCD(2, 519) = 1038 / 1038
GCD(2, 519) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 140, 158, 519, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 158, 519, 745?
GCD of 140, 158, 519, 745 is 1
2. Where do I get the detailed procedure to find GCD of 140, 158, 519, 745?
You can find a detailed procedure to find GCD of 140, 158, 519, 745 on our page.
3. How to find GCD of 140, 158, 519, 745 on a calculator?
You can find the GCD of 140, 158, 519, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.