Online GCD Calculator is useful to find the GCD of 702, 795, 381, 471 quickly. Get the easiest ways to solve the greatest common divisor of 702, 795, 381, 471 i.e 3 in different methods as follows.
Given Input numbers are 702, 795, 381, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
GCD of numbers is the greatest common divisor
So, the GCD (702, 795, 381, 471) = 3.
Given numbers are 702, 795, 381, 471
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 795 are 3 x 5 x 53
Prime factors of 381 are 3 x 127
Prime factors of 471 are 3 x 157
The highest common occurrence is 31
Therefore, GCD of 702, 795, 381, 471 is 3.
Given numbers are 702, 795, 381, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 795) = 186030
GCD(702, 795) = ( 702 x 795 ) / 186030
= 702 / 795
= 702
Step2:
LCM(3, 381) = 381
GCD(3, 381) = ( 3 x 381 ) / 381
= 3 / 381
= 3
Step3:
LCM(3, 471) = 471
GCD(3, 471) = ( 3 x 471 ) / 471
= 3 / 471
= 3
So, Greatest Common Divisor of 702, 795, 381, 471 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 795, 381, 471
The greatest common divisor of numbers 702, 795, 381, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 795, 381, 471 is 3.
1. What is the GCD of 702, 795, 381, 471?
GCD of given numbers 702, 795, 381, 471 is 3
2. How to calculate the greatest common divisor of 702, 795, 381, 471?
We can find the highest common divisor of 702, 795, 381, 471 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 702, 795, 381, 471 i.e 3.
3. How can I use the GCD of 702, 795, 381, 471Calculator?
Out the numbers 702, 795, 381, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.