Online GCD Calculator is useful to find the GCD of 120, 392, 440, 520 quickly. Get the easiest ways to solve the greatest common divisor of 120, 392, 440, 520 i.e 8 in different methods as follows.
Given Input numbers are 120, 392, 440, 520
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 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (120, 392, 440, 520) = 8.
Given numbers are 120, 392, 440, 520
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 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 23
Therefore, GCD of 120, 392, 440, 520 is 8.
Given numbers are 120, 392, 440, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 392) = 5880
GCD(120, 392) = ( 120 x 392 ) / 5880
= 120 / 392
= 120
Step2:
LCM(8, 440) = 440
GCD(8, 440) = ( 8 x 440 ) / 440
= 8 / 440
= 8
Step3:
LCM(8, 520) = 520
GCD(8, 520) = ( 8 x 520 ) / 520
= 8 / 520
= 8
So, Greatest Common Divisor of 120, 392, 440, 520 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 392, 440, 520
The greatest common divisor of numbers 120, 392, 440, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 392, 440, 520 is 8.
1. What is the GCD of 120, 392, 440, 520?
GCD of given numbers 120, 392, 440, 520 is 8
2. How to calculate the greatest common divisor of 120, 392, 440, 520?
We can find the highest common divisor of 120, 392, 440, 520 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, 392, 440, 520 i.e 8.
3. How can I use the GCD of 120, 392, 440, 520Calculator?
Out the numbers 120, 392, 440, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.