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 35, 240, 967, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 240, 967, 655 is 1
GCD(35, 240, 967, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 240, 967, 655 is 1
GCD(35, 240, 967, 655) = 1
Given Input numbers are 35, 240, 967, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
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 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 35, 240, 967, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 240, 967, 655 is 1.
Therefore, GCD of numbers 35, 240, 967, 655 is 1
Given Input Data is 35, 240, 967, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 967 is 967
Prime Factorization of 655 is 5 x 131
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(35, 240) = 1680
GCD(35, 240) = ( 35 x 240 ) / 1680
GCD(35, 240) = 8400 / 1680
GCD(35, 240) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 967) = 4835
GCD(5, 967) = ( 5 x 967 ) / 4835
GCD(5, 967) = 4835 / 4835
GCD(5, 967) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 35, 240, 967, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 240, 967, 655?
GCD of 35, 240, 967, 655 is 1
2. Where do I get the detailed procedure to find GCD of 35, 240, 967, 655?
You can find a detailed procedure to find GCD of 35, 240, 967, 655 on our page.
3. How to find GCD of 35, 240, 967, 655 on a calculator?
You can find the GCD of 35, 240, 967, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.