Online GCD Calculator is useful to find the GCD of 196, 714, 360, 342 quickly. Get the easiest ways to solve the greatest common divisor of 196, 714, 360, 342 i.e 2 in different methods as follows.
Given Input numbers are 196, 714, 360, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
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 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
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (196, 714, 360, 342) = 2.
Given numbers are 196, 714, 360, 342
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 196, 714, 360, 342 is 2.
Given numbers are 196, 714, 360, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 714) = 9996
GCD(196, 714) = ( 196 x 714 ) / 9996
= 196 / 714
= 196
Step2:
LCM(14, 360) = 2520
GCD(14, 360) = ( 14 x 360 ) / 2520
= 14 / 360
= 14
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 196, 714, 360, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 714, 360, 342
The greatest common divisor of numbers 196, 714, 360, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 714, 360, 342 is 2.
1. What is the GCD of 196, 714, 360, 342?
GCD of given numbers 196, 714, 360, 342 is 2
2. How to calculate the greatest common divisor of 196, 714, 360, 342?
We can find the highest common divisor of 196, 714, 360, 342 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 196, 714, 360, 342 i.e 2.
3. How can I use the GCD of 196, 714, 360, 342Calculator?
Out the numbers 196, 714, 360, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.