Online GCD Calculator is useful to find the GCD of 725, 275, 149 quickly. Get the easiest ways to solve the greatest common divisor of 725, 275, 149 i.e 1 in different methods as follows.
Given Input numbers are 725, 275, 149
In the factoring method, we have to find the divisors of all numbers
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (725, 275, 149) = 1.
Given numbers are 725, 275, 149
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 275 are 5 x 5 x 11
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 725, 275, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 275) = 7975
GCD(725, 275) = ( 725 x 275 ) / 7975
= 725 / 275
= 725
Step2:
LCM(25, 149) = 3725
GCD(25, 149) = ( 25 x 149 ) / 3725
= 25 / 149
= 25
So, Greatest Common Divisor of 725, 275, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 275, 149
The greatest common divisor of numbers 725, 275, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 275, 149 is 1.
1. What is the GCD of 725, 275, 149?
GCD of given numbers 725, 275, 149 is 1
2. How to calculate the greatest common divisor of 725, 275, 149?
We can find the highest common divisor of 725, 275, 149 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 725, 275, 149 i.e 1.
3. How can I use the GCD of 725, 275, 149Calculator?
Out the numbers 725, 275, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.