Online GCD Calculator is useful to find the GCD of 990, 358, 100, 560 quickly. Get the easiest ways to solve the greatest common divisor of 990, 358, 100, 560 i.e 2 in different methods as follows.
Given Input numbers are 990, 358, 100, 560
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
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 (990, 358, 100, 560) = 2.
Given numbers are 990, 358, 100, 560
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 358 are 2 x 179
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 990, 358, 100, 560 is 2.
Given numbers are 990, 358, 100, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 358) = 177210
GCD(990, 358) = ( 990 x 358 ) / 177210
= 990 / 358
= 990
Step2:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
Step3:
LCM(2, 560) = 560
GCD(2, 560) = ( 2 x 560 ) / 560
= 2 / 560
= 2
So, Greatest Common Divisor of 990, 358, 100, 560 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 358, 100, 560
The greatest common divisor of numbers 990, 358, 100, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 358, 100, 560 is 2.
1. What is the GCD of 990, 358, 100, 560?
GCD of given numbers 990, 358, 100, 560 is 2
2. How to calculate the greatest common divisor of 990, 358, 100, 560?
We can find the highest common divisor of 990, 358, 100, 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 990, 358, 100, 560 i.e 2.
3. How can I use the GCD of 990, 358, 100, 560Calculator?
Out the numbers 990, 358, 100, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.