Online GCD Calculator is useful to find the GCD of 515, 980, 120, 220 quickly. Get the easiest ways to solve the greatest common divisor of 515, 980, 120, 220 i.e 5 in different methods as follows.
Given Input numbers are 515, 980, 120, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 515 :
The positive integer divisors of 515 that completely divides 515 are.
1, 5, 103, 515
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (515, 980, 120, 220) = 5.
Given numbers are 515, 980, 120, 220
The list of prime factors of all numbers are
Prime factors of 515 are 5 x 103
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 515, 980, 120, 220 is 5.
Given numbers are 515, 980, 120, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(515, 980) = 100940
GCD(515, 980) = ( 515 x 980 ) / 100940
= 515 / 980
= 515
Step2:
LCM(5, 120) = 120
GCD(5, 120) = ( 5 x 120 ) / 120
= 5 / 120
= 5
Step3:
LCM(5, 220) = 220
GCD(5, 220) = ( 5 x 220 ) / 220
= 5 / 220
= 5
So, Greatest Common Divisor of 515, 980, 120, 220 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 515, 980, 120, 220
The greatest common divisor of numbers 515, 980, 120, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 515, 980, 120, 220 is 5.
1. What is the GCD of 515, 980, 120, 220?
GCD of given numbers 515, 980, 120, 220 is 5
2. How to calculate the greatest common divisor of 515, 980, 120, 220?
We can find the highest common divisor of 515, 980, 120, 220 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 515, 980, 120, 220 i.e 5.
3. How can I use the GCD of 515, 980, 120, 220Calculator?
Out the numbers 515, 980, 120, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.