Online GCD Calculator is useful to find the GCD of 360, 616, 724 quickly. Get the easiest ways to solve the greatest common divisor of 360, 616, 724 i.e 4 in different methods as follows.
Given Input numbers are 360, 616, 724
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 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (360, 616, 724) = 4.
Given numbers are 360, 616, 724
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 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 22
Therefore, GCD of 360, 616, 724 is 4.
Given numbers are 360, 616, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 616) = 27720
GCD(360, 616) = ( 360 x 616 ) / 27720
= 360 / 616
= 360
Step2:
LCM(8, 724) = 1448
GCD(8, 724) = ( 8 x 724 ) / 1448
= 8 / 724
= 8
So, Greatest Common Divisor of 360, 616, 724 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 616, 724
The greatest common divisor of numbers 360, 616, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 616, 724 is 4.
1. What is the GCD of 360, 616, 724?
GCD of given numbers 360, 616, 724 is 4
2. How to calculate the greatest common divisor of 360, 616, 724?
We can find the highest common divisor of 360, 616, 724 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, 616, 724 i.e 4.
3. How can I use the GCD of 360, 616, 724Calculator?
Out the numbers 360, 616, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.