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, 345, 176, 811 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 345, 176, 811 is 1
GCD(140, 345, 176, 811) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 345, 176, 811 is 1
GCD(140, 345, 176, 811) = 1
Given Input numbers are 140, 345, 176, 811
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 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Greatest Common Divisior
We found the divisors of 140, 345, 176, 811 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 345, 176, 811 is 1.
Therefore, GCD of numbers 140, 345, 176, 811 is 1
Given Input Data is 140, 345, 176, 811
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 345 is 3 x 5 x 23
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 811 is 811
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, 345) = 9660
GCD(140, 345) = ( 140 x 345 ) / 9660
GCD(140, 345) = 48300 / 9660
GCD(140, 345) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 176) = 880
GCD(5, 176) = ( 5 x 176 ) / 880
GCD(5, 176) = 880 / 880
GCD(5, 176) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 811) = 811
GCD(1, 811) = ( 1 x 811 ) / 811
GCD(1, 811) = 811 / 811
GCD(1, 811) = 1
GCD of 140, 345, 176, 811 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 345, 176, 811?
GCD of 140, 345, 176, 811 is 1
2. Where do I get the detailed procedure to find GCD of 140, 345, 176, 811?
You can find a detailed procedure to find GCD of 140, 345, 176, 811 on our page.
3. How to find GCD of 140, 345, 176, 811 on a calculator?
You can find the GCD of 140, 345, 176, 811 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.