Online GCD Calculator is useful to find the GCD of 360, 196, 716, 578 quickly. Get the easiest ways to solve the greatest common divisor of 360, 196, 716, 578 i.e 2 in different methods as follows.
Given Input numbers are 360, 196, 716, 578
In the factoring method, we have to find the divisors of all numbers
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 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 578 :
The positive integer divisors of 578 that completely divides 578 are.
1, 2, 17, 34, 289, 578
GCD of numbers is the greatest common divisor
So, the GCD (360, 196, 716, 578) = 2.
Given numbers are 360, 196, 716, 578
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 716 are 2 x 2 x 179
Prime factors of 578 are 2 x 17 x 17
The highest common occurrence is 21
Therefore, GCD of 360, 196, 716, 578 is 2.
Given numbers are 360, 196, 716, 578
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 196) = 17640
GCD(360, 196) = ( 360 x 196 ) / 17640
= 360 / 196
= 360
Step2:
LCM(4, 716) = 716
GCD(4, 716) = ( 4 x 716 ) / 716
= 4 / 716
= 4
Step3:
LCM(4, 578) = 1156
GCD(4, 578) = ( 4 x 578 ) / 1156
= 4 / 578
= 4
So, Greatest Common Divisor of 360, 196, 716, 578 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 196, 716, 578
The greatest common divisor of numbers 360, 196, 716, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 196, 716, 578 is 2.
1. What is the GCD of 360, 196, 716, 578?
GCD of given numbers 360, 196, 716, 578 is 2
2. How to calculate the greatest common divisor of 360, 196, 716, 578?
We can find the highest common divisor of 360, 196, 716, 578 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 360, 196, 716, 578 i.e 2.
3. How can I use the GCD of 360, 196, 716, 578Calculator?
Out the numbers 360, 196, 716, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.