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 694, 140, 75, 941 i.e. 1 largest integer that divides all the numbers equally.
GCD of 694, 140, 75, 941 is 1
GCD(694, 140, 75, 941) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 694, 140, 75, 941 is 1
GCD(694, 140, 75, 941) = 1
Given Input numbers are 694, 140, 75, 941
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
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 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Greatest Common Divisior
We found the divisors of 694, 140, 75, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 140, 75, 941 is 1.
Therefore, GCD of numbers 694, 140, 75, 941 is 1
Given Input Data is 694, 140, 75, 941
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 694 is 2 x 347
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 941 is 941
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(694, 140) = 48580
GCD(694, 140) = ( 694 x 140 ) / 48580
GCD(694, 140) = 97160 / 48580
GCD(694, 140) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 941) = 941
GCD(1, 941) = ( 1 x 941 ) / 941
GCD(1, 941) = 941 / 941
GCD(1, 941) = 1
GCD of 694, 140, 75, 941 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 694, 140, 75, 941?
GCD of 694, 140, 75, 941 is 1
2. Where do I get the detailed procedure to find GCD of 694, 140, 75, 941?
You can find a detailed procedure to find GCD of 694, 140, 75, 941 on our page.
3. How to find GCD of 694, 140, 75, 941 on a calculator?
You can find the GCD of 694, 140, 75, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.