Online GCD Calculator is useful to find the GCD of 714, 952, 308 quickly. Get the easiest ways to solve the greatest common divisor of 714, 952, 308 i.e 14 in different methods as follows.
Given Input numbers are 714, 952, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (714, 952, 308) = 14.
Given numbers are 714, 952, 308
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 21 x 71
Therefore, GCD of 714, 952, 308 is 14.
Given numbers are 714, 952, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 952) = 2856
GCD(714, 952) = ( 714 x 952 ) / 2856
= 714 / 952
= 714
Step2:
LCM(238, 308) = 5236
GCD(238, 308) = ( 238 x 308 ) / 5236
= 238 / 308
= 238
So, Greatest Common Divisor of 714, 952, 308 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 952, 308
The greatest common divisor of numbers 714, 952, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 952, 308 is 14.
1. What is the GCD of 714, 952, 308?
GCD of given numbers 714, 952, 308 is 14
2. How to calculate the greatest common divisor of 714, 952, 308?
We can find the highest common divisor of 714, 952, 308 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 714, 952, 308 i.e 14.
3. How can I use the GCD of 714, 952, 308Calculator?
Out the numbers 714, 952, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.