Online GCD Calculator is useful to find the GCD of 351, 871, 780 quickly. Get the easiest ways to solve the greatest common divisor of 351, 871, 780 i.e 13 in different methods as follows.
Given Input numbers are 351, 871, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (351, 871, 780) = 13.
Given numbers are 351, 871, 780
The list of prime factors of all numbers are
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 871 are 13 x 67
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 131
Therefore, GCD of 351, 871, 780 is 13.
Given numbers are 351, 871, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(351, 871) = 23517
GCD(351, 871) = ( 351 x 871 ) / 23517
= 351 / 871
= 351
Step2:
LCM(13, 780) = 780
GCD(13, 780) = ( 13 x 780 ) / 780
= 13 / 780
= 13
So, Greatest Common Divisor of 351, 871, 780 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 351, 871, 780
The greatest common divisor of numbers 351, 871, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 871, 780 is 13.
1. What is the GCD of 351, 871, 780?
GCD of given numbers 351, 871, 780 is 13
2. How to calculate the greatest common divisor of 351, 871, 780?
We can find the highest common divisor of 351, 871, 780 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 351, 871, 780 i.e 13.
3. How can I use the GCD of 351, 871, 780Calculator?
Out the numbers 351, 871, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.