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 240, 434, 661, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 434, 661, 920 is 1
GCD(240, 434, 661, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 434, 661, 920 is 1
GCD(240, 434, 661, 920) = 1
Given Input numbers are 240, 434, 661, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 240, 434, 661, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 434, 661, 920 is 1.
Therefore, GCD of numbers 240, 434, 661, 920 is 1
Given Input Data is 240, 434, 661, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 661 is 661
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(240, 434) = 52080
GCD(240, 434) = ( 240 x 434 ) / 52080
GCD(240, 434) = 104160 / 52080
GCD(240, 434) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 661) = 1322
GCD(2, 661) = ( 2 x 661 ) / 1322
GCD(2, 661) = 1322 / 1322
GCD(2, 661) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 240, 434, 661, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 434, 661, 920?
GCD of 240, 434, 661, 920 is 1
2. Where do I get the detailed procedure to find GCD of 240, 434, 661, 920?
You can find a detailed procedure to find GCD of 240, 434, 661, 920 on our page.
3. How to find GCD of 240, 434, 661, 920 on a calculator?
You can find the GCD of 240, 434, 661, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.