Online GCD Calculator is useful to find the GCD of 100, 240, 230, 872 quickly. Get the easiest ways to solve the greatest common divisor of 100, 240, 230, 872 i.e 2 in different methods as follows.
Given Input numbers are 100, 240, 230, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (100, 240, 230, 872) = 2.
Given numbers are 100, 240, 230, 872
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 230 are 2 x 5 x 23
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 100, 240, 230, 872 is 2.
Given numbers are 100, 240, 230, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 240) = 1200
GCD(100, 240) = ( 100 x 240 ) / 1200
= 100 / 240
= 100
Step2:
LCM(20, 230) = 460
GCD(20, 230) = ( 20 x 230 ) / 460
= 20 / 230
= 20
Step3:
LCM(10, 872) = 4360
GCD(10, 872) = ( 10 x 872 ) / 4360
= 10 / 872
= 10
So, Greatest Common Divisor of 100, 240, 230, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 240, 230, 872
The greatest common divisor of numbers 100, 240, 230, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 240, 230, 872 is 2.
1. What is the GCD of 100, 240, 230, 872?
GCD of given numbers 100, 240, 230, 872 is 2
2. How to calculate the greatest common divisor of 100, 240, 230, 872?
We can find the highest common divisor of 100, 240, 230, 872 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 100, 240, 230, 872 i.e 2.
3. How can I use the GCD of 100, 240, 230, 872Calculator?
Out the numbers 100, 240, 230, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.