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 686, 760, 35, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 760, 35, 120 is 1
GCD(686, 760, 35, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 760, 35, 120 is 1
GCD(686, 760, 35, 120) = 1
Given Input numbers are 686, 760, 35, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
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
Greatest Common Divisior
We found the divisors of 686, 760, 35, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 760, 35, 120 is 1.
Therefore, GCD of numbers 686, 760, 35, 120 is 1
Given Input Data is 686, 760, 35, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 35 is 5 x 7
Prime Factorization of 120 is 2 x 2 x 2 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(686, 760) = 260680
GCD(686, 760) = ( 686 x 760 ) / 260680
GCD(686, 760) = 521360 / 260680
GCD(686, 760) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 35) = 70
GCD(2, 35) = ( 2 x 35 ) / 70
GCD(2, 35) = 70 / 70
GCD(2, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 686, 760, 35, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 760, 35, 120?
GCD of 686, 760, 35, 120 is 1
2. Where do I get the detailed procedure to find GCD of 686, 760, 35, 120?
You can find a detailed procedure to find GCD of 686, 760, 35, 120 on our page.
3. How to find GCD of 686, 760, 35, 120 on a calculator?
You can find the GCD of 686, 760, 35, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.