Online GCD Calculator is useful to find the GCD of 792, 130, 278, 360 quickly. Get the easiest ways to solve the greatest common divisor of 792, 130, 278, 360 i.e 2 in different methods as follows.
Given Input numbers are 792, 130, 278, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
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 (792, 130, 278, 360) = 2.
Given numbers are 792, 130, 278, 360
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 130 are 2 x 5 x 13
Prime factors of 278 are 2 x 139
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 792, 130, 278, 360 is 2.
Given numbers are 792, 130, 278, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 130) = 51480
GCD(792, 130) = ( 792 x 130 ) / 51480
= 792 / 130
= 792
Step2:
LCM(2, 278) = 278
GCD(2, 278) = ( 2 x 278 ) / 278
= 2 / 278
= 2
Step3:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
So, Greatest Common Divisor of 792, 130, 278, 360 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 130, 278, 360
The greatest common divisor of numbers 792, 130, 278, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 130, 278, 360 is 2.
1. What is the GCD of 792, 130, 278, 360?
GCD of given numbers 792, 130, 278, 360 is 2
2. How to calculate the greatest common divisor of 792, 130, 278, 360?
We can find the highest common divisor of 792, 130, 278, 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 792, 130, 278, 360 i.e 2.
3. How can I use the GCD of 792, 130, 278, 360Calculator?
Out the numbers 792, 130, 278, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.