Online GCD Calculator is useful to find the GCD of 120, 820, 910 quickly. Get the easiest ways to solve the greatest common divisor of 120, 820, 910 i.e 10 in different methods as follows.
Given Input numbers are 120, 820, 910
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 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
GCD of numbers is the greatest common divisor
So, the GCD (120, 820, 910) = 10.
Given numbers are 120, 820, 910
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 820 are 2 x 2 x 5 x 41
Prime factors of 910 are 2 x 5 x 7 x 13
The highest common occurrence is 21 x 51
Therefore, GCD of 120, 820, 910 is 10.
Given numbers are 120, 820, 910
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 820) = 4920
GCD(120, 820) = ( 120 x 820 ) / 4920
= 120 / 820
= 120
Step2:
LCM(20, 910) = 1820
GCD(20, 910) = ( 20 x 910 ) / 1820
= 20 / 910
= 20
So, Greatest Common Divisor of 120, 820, 910 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 820, 910
The greatest common divisor of numbers 120, 820, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 820, 910 is 10.
1. What is the GCD of 120, 820, 910?
GCD of given numbers 120, 820, 910 is 10
2. How to calculate the greatest common divisor of 120, 820, 910?
We can find the highest common divisor of 120, 820, 910 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, 820, 910 i.e 10.
3. How can I use the GCD of 120, 820, 910Calculator?
Out the numbers 120, 820, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.