Online GCD Calculator is useful to find the GCD of 560, 758, 378, 792 quickly. Get the easiest ways to solve the greatest common divisor of 560, 758, 378, 792 i.e 2 in different methods as follows.
Given Input numbers are 560, 758, 378, 792
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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
GCD of numbers is the greatest common divisor
So, the GCD (560, 758, 378, 792) = 2.
Given numbers are 560, 758, 378, 792
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 758 are 2 x 379
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 560, 758, 378, 792 is 2.
Given numbers are 560, 758, 378, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 758) = 212240
GCD(560, 758) = ( 560 x 758 ) / 212240
= 560 / 758
= 560
Step2:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
Step3:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
So, Greatest Common Divisor of 560, 758, 378, 792 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 758, 378, 792
The greatest common divisor of numbers 560, 758, 378, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 758, 378, 792 is 2.
1. What is the GCD of 560, 758, 378, 792?
GCD of given numbers 560, 758, 378, 792 is 2
2. How to calculate the greatest common divisor of 560, 758, 378, 792?
We can find the highest common divisor of 560, 758, 378, 792 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 560, 758, 378, 792 i.e 2.
3. How can I use the GCD of 560, 758, 378, 792Calculator?
Out the numbers 560, 758, 378, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.