Online GCD Calculator is useful to find the GCD of 318, 632, 614, 476 quickly. Get the easiest ways to solve the greatest common divisor of 318, 632, 614, 476 i.e 2 in different methods as follows.
Given Input numbers are 318, 632, 614, 476
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
GCD of numbers is the greatest common divisor
So, the GCD (318, 632, 614, 476) = 2.
Given numbers are 318, 632, 614, 476
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 614 are 2 x 307
Prime factors of 476 are 2 x 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 318, 632, 614, 476 is 2.
Given numbers are 318, 632, 614, 476
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 632) = 100488
GCD(318, 632) = ( 318 x 632 ) / 100488
= 318 / 632
= 318
Step2:
LCM(2, 614) = 614
GCD(2, 614) = ( 2 x 614 ) / 614
= 2 / 614
= 2
Step3:
LCM(2, 476) = 476
GCD(2, 476) = ( 2 x 476 ) / 476
= 2 / 476
= 2
So, Greatest Common Divisor of 318, 632, 614, 476 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 632, 614, 476
The greatest common divisor of numbers 318, 632, 614, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 632, 614, 476 is 2.
1. What is the GCD of 318, 632, 614, 476?
GCD of given numbers 318, 632, 614, 476 is 2
2. How to calculate the greatest common divisor of 318, 632, 614, 476?
We can find the highest common divisor of 318, 632, 614, 476 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 318, 632, 614, 476 i.e 2.
3. How can I use the GCD of 318, 632, 614, 476Calculator?
Out the numbers 318, 632, 614, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.