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, 545, 714, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 545, 714, 904 is 1
GCD(140, 545, 714, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 545, 714, 904 is 1
GCD(140, 545, 714, 904) = 1
Given Input numbers are 140, 545, 714, 904
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 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 140, 545, 714, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 545, 714, 904 is 1.
Therefore, GCD of numbers 140, 545, 714, 904 is 1
Given Input Data is 140, 545, 714, 904
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 545 is 5 x 109
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 904 is 2 x 2 x 2 x 113
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, 545) = 15260
GCD(140, 545) = ( 140 x 545 ) / 15260
GCD(140, 545) = 76300 / 15260
GCD(140, 545) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 714) = 3570
GCD(5, 714) = ( 5 x 714 ) / 3570
GCD(5, 714) = 3570 / 3570
GCD(5, 714) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
GCD of 140, 545, 714, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 545, 714, 904?
GCD of 140, 545, 714, 904 is 1
2. Where do I get the detailed procedure to find GCD of 140, 545, 714, 904?
You can find a detailed procedure to find GCD of 140, 545, 714, 904 on our page.
3. How to find GCD of 140, 545, 714, 904 on a calculator?
You can find the GCD of 140, 545, 714, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.