Online GCD Calculator is useful to find the GCD of 488, 838, 25, 100 quickly. Get the easiest ways to solve the greatest common divisor of 488, 838, 25, 100 i.e 1 in different methods as follows.
Given Input numbers are 488, 838, 25, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 25 :
The positive integer divisors of 25 that completely divides 25 are.
1, 5, 25
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (488, 838, 25, 100) = 1.
Given numbers are 488, 838, 25, 100
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 838 are 2 x 419
Prime factors of 25 are 5 x 5
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 488, 838, 25, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 838) = 204472
GCD(488, 838) = ( 488 x 838 ) / 204472
= 488 / 838
= 488
Step2:
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
= 2 / 25
= 2
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 488, 838, 25, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 838, 25, 100
The greatest common divisor of numbers 488, 838, 25, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 838, 25, 100 is 1.
1. What is the GCD of 488, 838, 25, 100?
GCD of given numbers 488, 838, 25, 100 is 1
2. How to calculate the greatest common divisor of 488, 838, 25, 100?
We can find the highest common divisor of 488, 838, 25, 100 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 488, 838, 25, 100 i.e 1.
3. How can I use the GCD of 488, 838, 25, 100Calculator?
Out the numbers 488, 838, 25, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.