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 654, 762, 859, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 654, 762, 859, 346 is 1
GCD(654, 762, 859, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 654, 762, 859, 346 is 1
GCD(654, 762, 859, 346) = 1
Given Input numbers are 654, 762, 859, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
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 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 654, 762, 859, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 762, 859, 346 is 1.
Therefore, GCD of numbers 654, 762, 859, 346 is 1
Given Input Data is 654, 762, 859, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 859 is 859
Prime Factorization of 346 is 2 x 173
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(654, 762) = 83058
GCD(654, 762) = ( 654 x 762 ) / 83058
GCD(654, 762) = 498348 / 83058
GCD(654, 762) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 859) = 5154
GCD(6, 859) = ( 6 x 859 ) / 5154
GCD(6, 859) = 5154 / 5154
GCD(6, 859) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 654, 762, 859, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 654, 762, 859, 346?
GCD of 654, 762, 859, 346 is 1
2. Where do I get the detailed procedure to find GCD of 654, 762, 859, 346?
You can find a detailed procedure to find GCD of 654, 762, 859, 346 on our page.
3. How to find GCD of 654, 762, 859, 346 on a calculator?
You can find the GCD of 654, 762, 859, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.