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, 208, 626, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 208, 626, 575 is 1
GCD(140, 208, 626, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 208, 626, 575 is 1
GCD(140, 208, 626, 575) = 1
Given Input numbers are 140, 208, 626, 575
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 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 140, 208, 626, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 208, 626, 575 is 1.
Therefore, GCD of numbers 140, 208, 626, 575 is 1
Given Input Data is 140, 208, 626, 575
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 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 626 is 2 x 313
Prime Factorization of 575 is 5 x 5 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(140, 208) = 7280
GCD(140, 208) = ( 140 x 208 ) / 7280
GCD(140, 208) = 29120 / 7280
GCD(140, 208) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 626) = 1252
GCD(4, 626) = ( 4 x 626 ) / 1252
GCD(4, 626) = 2504 / 1252
GCD(4, 626) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 575) = 1150
GCD(2, 575) = ( 2 x 575 ) / 1150
GCD(2, 575) = 1150 / 1150
GCD(2, 575) = 1
GCD of 140, 208, 626, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 208, 626, 575?
GCD of 140, 208, 626, 575 is 1
2. Where do I get the detailed procedure to find GCD of 140, 208, 626, 575?
You can find a detailed procedure to find GCD of 140, 208, 626, 575 on our page.
3. How to find GCD of 140, 208, 626, 575 on a calculator?
You can find the GCD of 140, 208, 626, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.