Online GCD Calculator is useful to find the GCD of 714, 238, 922, 360 quickly. Get the easiest ways to solve the greatest common divisor of 714, 238, 922, 360 i.e 2 in different methods as follows.
Given Input numbers are 714, 238, 922, 360
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 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (714, 238, 922, 360) = 2.
Given numbers are 714, 238, 922, 360
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 238 are 2 x 7 x 17
Prime factors of 922 are 2 x 461
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 714, 238, 922, 360 is 2.
Given numbers are 714, 238, 922, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 238) = 714
GCD(714, 238) = ( 714 x 238 ) / 714
= 714 / 238
= 714
Step2:
LCM(238, 922) = 109718
GCD(238, 922) = ( 238 x 922 ) / 109718
= 238 / 922
= 238
Step3:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
So, Greatest Common Divisor of 714, 238, 922, 360 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 238, 922, 360
The greatest common divisor of numbers 714, 238, 922, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 238, 922, 360 is 2.
1. What is the GCD of 714, 238, 922, 360?
GCD of given numbers 714, 238, 922, 360 is 2
2. How to calculate the greatest common divisor of 714, 238, 922, 360?
We can find the highest common divisor of 714, 238, 922, 360 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, 238, 922, 360 i.e 2.
3. How can I use the GCD of 714, 238, 922, 360Calculator?
Out the numbers 714, 238, 922, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.