Online GCD Calculator is useful to find the GCD of 994, 315, 155, 560 quickly. Get the easiest ways to solve the greatest common divisor of 994, 315, 155, 560 i.e 1 in different methods as follows.
Given Input numbers are 994, 315, 155, 560
In the factoring method, we have to find the divisors of all numbers
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
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
GCD of numbers is the greatest common divisor
So, the GCD (994, 315, 155, 560) = 1.
Given numbers are 994, 315, 155, 560
The list of prime factors of all numbers are
Prime factors of 994 are 2 x 7 x 71
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 155 are 5 x 31
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 994, 315, 155, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(994, 315) = 44730
GCD(994, 315) = ( 994 x 315 ) / 44730
= 994 / 315
= 994
Step2:
LCM(7, 155) = 1085
GCD(7, 155) = ( 7 x 155 ) / 1085
= 7 / 155
= 7
Step3:
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
= 1 / 560
= 1
So, Greatest Common Divisor of 994, 315, 155, 560 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 994, 315, 155, 560
The greatest common divisor of numbers 994, 315, 155, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 315, 155, 560 is 1.
1. What is the GCD of 994, 315, 155, 560?
GCD of given numbers 994, 315, 155, 560 is 1
2. How to calculate the greatest common divisor of 994, 315, 155, 560?
We can find the highest common divisor of 994, 315, 155, 560 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 994, 315, 155, 560 i.e 1.
3. How can I use the GCD of 994, 315, 155, 560Calculator?
Out the numbers 994, 315, 155, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.