Online GCD Calculator is useful to find the GCD of 105, 367, 725, 140 quickly. Get the easiest ways to solve the greatest common divisor of 105, 367, 725, 140 i.e 1 in different methods as follows.
Given Input numbers are 105, 367, 725, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (105, 367, 725, 140) = 1.
Given numbers are 105, 367, 725, 140
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 367 are 367
Prime factors of 725 are 5 x 5 x 29
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 367, 725, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 367) = 38535
GCD(105, 367) = ( 105 x 367 ) / 38535
= 105 / 367
= 105
Step2:
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
= 1 / 725
= 1
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 105, 367, 725, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 367, 725, 140
The greatest common divisor of numbers 105, 367, 725, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 367, 725, 140 is 1.
1. What is the GCD of 105, 367, 725, 140?
GCD of given numbers 105, 367, 725, 140 is 1
2. How to calculate the greatest common divisor of 105, 367, 725, 140?
We can find the highest common divisor of 105, 367, 725, 140 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 105, 367, 725, 140 i.e 1.
3. How can I use the GCD of 105, 367, 725, 140Calculator?
Out the numbers 105, 367, 725, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.