Online GCD Calculator is useful to find the GCD of 880, 372, 120, 500 quickly. Get the easiest ways to solve the greatest common divisor of 880, 372, 120, 500 i.e 4 in different methods as follows.
Given Input numbers are 880, 372, 120, 500
In the factoring method, we have to find the divisors of all numbers
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
GCD of numbers is the greatest common divisor
So, the GCD (880, 372, 120, 500) = 4.
Given numbers are 880, 372, 120, 500
The list of prime factors of all numbers are
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 880, 372, 120, 500 is 4.
Given numbers are 880, 372, 120, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 372) = 81840
GCD(880, 372) = ( 880 x 372 ) / 81840
= 880 / 372
= 880
Step2:
LCM(4, 120) = 120
GCD(4, 120) = ( 4 x 120 ) / 120
= 4 / 120
= 4
Step3:
LCM(4, 500) = 500
GCD(4, 500) = ( 4 x 500 ) / 500
= 4 / 500
= 4
So, Greatest Common Divisor of 880, 372, 120, 500 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 372, 120, 500
The greatest common divisor of numbers 880, 372, 120, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 372, 120, 500 is 4.
1. What is the GCD of 880, 372, 120, 500?
GCD of given numbers 880, 372, 120, 500 is 4
2. How to calculate the greatest common divisor of 880, 372, 120, 500?
We can find the highest common divisor of 880, 372, 120, 500 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 880, 372, 120, 500 i.e 4.
3. How can I use the GCD of 880, 372, 120, 500Calculator?
Out the numbers 880, 372, 120, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.