Online GCD Calculator is useful to find the GCD of 120, 260, 386, 980 quickly. Get the easiest ways to solve the greatest common divisor of 120, 260, 386, 980 i.e 2 in different methods as follows.
Given Input numbers are 120, 260, 386, 980
In the factoring method, we have to find the divisors of all numbers
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 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
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
GCD of numbers is the greatest common divisor
So, the GCD (120, 260, 386, 980) = 2.
Given numbers are 120, 260, 386, 980
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 386 are 2 x 193
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 120, 260, 386, 980 is 2.
Given numbers are 120, 260, 386, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 260) = 1560
GCD(120, 260) = ( 120 x 260 ) / 1560
= 120 / 260
= 120
Step2:
LCM(20, 386) = 3860
GCD(20, 386) = ( 20 x 386 ) / 3860
= 20 / 386
= 20
Step3:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
So, Greatest Common Divisor of 120, 260, 386, 980 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 260, 386, 980
The greatest common divisor of numbers 120, 260, 386, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 260, 386, 980 is 2.
1. What is the GCD of 120, 260, 386, 980?
GCD of given numbers 120, 260, 386, 980 is 2
2. How to calculate the greatest common divisor of 120, 260, 386, 980?
We can find the highest common divisor of 120, 260, 386, 980 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 120, 260, 386, 980 i.e 2.
3. How can I use the GCD of 120, 260, 386, 980Calculator?
Out the numbers 120, 260, 386, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.