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, 749, 120, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 749, 120, 360 is 1
GCD(35, 749, 120, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 749, 120, 360 is 1
GCD(35, 749, 120, 360) = 1
Given Input numbers are 35, 749, 120, 360
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 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 35, 749, 120, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 749, 120, 360 is 1.
Therefore, GCD of numbers 35, 749, 120, 360 is 1
Given Input Data is 35, 749, 120, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 749 is 7 x 107
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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, 749) = 3745
GCD(35, 749) = ( 35 x 749 ) / 3745
GCD(35, 749) = 26215 / 3745
GCD(35, 749) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 120) = 840
GCD(7, 120) = ( 7 x 120 ) / 840
GCD(7, 120) = 840 / 840
GCD(7, 120) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 35, 749, 120, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 749, 120, 360?
GCD of 35, 749, 120, 360 is 1
2. Where do I get the detailed procedure to find GCD of 35, 749, 120, 360?
You can find a detailed procedure to find GCD of 35, 749, 120, 360 on our page.
3. How to find GCD of 35, 749, 120, 360 on a calculator?
You can find the GCD of 35, 749, 120, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.