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 762, 351, 60, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 351, 60, 104 is 1
GCD(762, 351, 60, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 351, 60, 104 is 1
GCD(762, 351, 60, 104) = 1
Given Input numbers are 762, 351, 60, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 762, 351, 60, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 351, 60, 104 is 1.
Therefore, GCD of numbers 762, 351, 60, 104 is 1
Given Input Data is 762, 351, 60, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 104 is 2 x 2 x 2 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(762, 351) = 89154
GCD(762, 351) = ( 762 x 351 ) / 89154
GCD(762, 351) = 267462 / 89154
GCD(762, 351) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 60) = 60
GCD(3, 60) = ( 3 x 60 ) / 60
GCD(3, 60) = 180 / 60
GCD(3, 60) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 104) = 312
GCD(3, 104) = ( 3 x 104 ) / 312
GCD(3, 104) = 312 / 312
GCD(3, 104) = 1
GCD of 762, 351, 60, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 351, 60, 104?
GCD of 762, 351, 60, 104 is 1
2. Where do I get the detailed procedure to find GCD of 762, 351, 60, 104?
You can find a detailed procedure to find GCD of 762, 351, 60, 104 on our page.
3. How to find GCD of 762, 351, 60, 104 on a calculator?
You can find the GCD of 762, 351, 60, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.