Online GCD Calculator is useful to find the GCD of 125, 355, 894, 114 quickly. Get the easiest ways to solve the greatest common divisor of 125, 355, 894, 114 i.e 1 in different methods as follows.
Given Input numbers are 125, 355, 894, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (125, 355, 894, 114) = 1.
Given numbers are 125, 355, 894, 114
The list of prime factors of all numbers are
Prime factors of 125 are 5 x 5 x 5
Prime factors of 355 are 5 x 71
Prime factors of 894 are 2 x 3 x 149
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 125, 355, 894, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(125, 355) = 8875
GCD(125, 355) = ( 125 x 355 ) / 8875
= 125 / 355
= 125
Step2:
LCM(5, 894) = 4470
GCD(5, 894) = ( 5 x 894 ) / 4470
= 5 / 894
= 5
Step3:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 125, 355, 894, 114 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 125, 355, 894, 114
The greatest common divisor of numbers 125, 355, 894, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 355, 894, 114 is 1.
1. What is the GCD of 125, 355, 894, 114?
GCD of given numbers 125, 355, 894, 114 is 1
2. How to calculate the greatest common divisor of 125, 355, 894, 114?
We can find the highest common divisor of 125, 355, 894, 114 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 125, 355, 894, 114 i.e 1.
3. How can I use the GCD of 125, 355, 894, 114Calculator?
Out the numbers 125, 355, 894, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.