Online GCD Calculator is useful to find the GCD of 125, 715, 678, 116 quickly. Get the easiest ways to solve the greatest common divisor of 125, 715, 678, 116 i.e 1 in different methods as follows.
Given Input numbers are 125, 715, 678, 116
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 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (125, 715, 678, 116) = 1.
Given numbers are 125, 715, 678, 116
The list of prime factors of all numbers are
Prime factors of 125 are 5 x 5 x 5
Prime factors of 715 are 5 x 11 x 13
Prime factors of 678 are 2 x 3 x 113
Prime factors of 116 are 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 125, 715, 678, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(125, 715) = 17875
GCD(125, 715) = ( 125 x 715 ) / 17875
= 125 / 715
= 125
Step2:
LCM(5, 678) = 3390
GCD(5, 678) = ( 5 x 678 ) / 3390
= 5 / 678
= 5
Step3:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
So, Greatest Common Divisor of 125, 715, 678, 116 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 125, 715, 678, 116
The greatest common divisor of numbers 125, 715, 678, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 715, 678, 116 is 1.
1. What is the GCD of 125, 715, 678, 116?
GCD of given numbers 125, 715, 678, 116 is 1
2. How to calculate the greatest common divisor of 125, 715, 678, 116?
We can find the highest common divisor of 125, 715, 678, 116 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, 715, 678, 116 i.e 1.
3. How can I use the GCD of 125, 715, 678, 116Calculator?
Out the numbers 125, 715, 678, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.