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, 467, 931, 214 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 467, 931, 214 is 1
GCD(140, 467, 931, 214) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 467, 931, 214 is 1
GCD(140, 467, 931, 214) = 1
Given Input numbers are 140, 467, 931, 214
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 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Greatest Common Divisior
We found the divisors of 140, 467, 931, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 467, 931, 214 is 1.
Therefore, GCD of numbers 140, 467, 931, 214 is 1
Given Input Data is 140, 467, 931, 214
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 467 is 467
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 214 is 2 x 107
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, 467) = 65380
GCD(140, 467) = ( 140 x 467 ) / 65380
GCD(140, 467) = 65380 / 65380
GCD(140, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
GCD of 140, 467, 931, 214 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 467, 931, 214?
GCD of 140, 467, 931, 214 is 1
2. Where do I get the detailed procedure to find GCD of 140, 467, 931, 214?
You can find a detailed procedure to find GCD of 140, 467, 931, 214 on our page.
3. How to find GCD of 140, 467, 931, 214 on a calculator?
You can find the GCD of 140, 467, 931, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.