Online GCD Calculator is useful to find the GCD of 424, 880, 920, 200 quickly. Get the easiest ways to solve the greatest common divisor of 424, 880, 920, 200 i.e 8 in different methods as follows.
Given Input numbers are 424, 880, 920, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
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 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (424, 880, 920, 200) = 8.
Given numbers are 424, 880, 920, 200
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 23
Therefore, GCD of 424, 880, 920, 200 is 8.
Given numbers are 424, 880, 920, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 880) = 46640
GCD(424, 880) = ( 424 x 880 ) / 46640
= 424 / 880
= 424
Step2:
LCM(8, 920) = 920
GCD(8, 920) = ( 8 x 920 ) / 920
= 8 / 920
= 8
Step3:
LCM(8, 200) = 200
GCD(8, 200) = ( 8 x 200 ) / 200
= 8 / 200
= 8
So, Greatest Common Divisor of 424, 880, 920, 200 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 880, 920, 200
The greatest common divisor of numbers 424, 880, 920, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 880, 920, 200 is 8.
1. What is the GCD of 424, 880, 920, 200?
GCD of given numbers 424, 880, 920, 200 is 8
2. How to calculate the greatest common divisor of 424, 880, 920, 200?
We can find the highest common divisor of 424, 880, 920, 200 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 424, 880, 920, 200 i.e 8.
3. How can I use the GCD of 424, 880, 920, 200Calculator?
Out the numbers 424, 880, 920, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.