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, 735, 77, 234 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 735, 77, 234 is 1
GCD(140, 735, 77, 234) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 735, 77, 234 is 1
GCD(140, 735, 77, 234) = 1
Given Input numbers are 140, 735, 77, 234
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 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 140, 735, 77, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 735, 77, 234 is 1.
Therefore, GCD of numbers 140, 735, 77, 234 is 1
Given Input Data is 140, 735, 77, 234
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 735 is 3 x 5 x 7 x 7
Prime Factorization of 77 is 7 x 11
Prime Factorization of 234 is 2 x 3 x 3 x 13
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, 735) = 2940
GCD(140, 735) = ( 140 x 735 ) / 2940
GCD(140, 735) = 102900 / 2940
GCD(140, 735) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 77) = 385
GCD(35, 77) = ( 35 x 77 ) / 385
GCD(35, 77) = 2695 / 385
GCD(35, 77) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 234) = 1638
GCD(7, 234) = ( 7 x 234 ) / 1638
GCD(7, 234) = 1638 / 1638
GCD(7, 234) = 1
GCD of 140, 735, 77, 234 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 735, 77, 234?
GCD of 140, 735, 77, 234 is 1
2. Where do I get the detailed procedure to find GCD of 140, 735, 77, 234?
You can find a detailed procedure to find GCD of 140, 735, 77, 234 on our page.
3. How to find GCD of 140, 735, 77, 234 on a calculator?
You can find the GCD of 140, 735, 77, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.