Online GCD Calculator is useful to find the GCD of 144, 725, 695, 998 quickly. Get the easiest ways to solve the greatest common divisor of 144, 725, 695, 998 i.e 1 in different methods as follows.
Given Input numbers are 144, 725, 695, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (144, 725, 695, 998) = 1.
Given numbers are 144, 725, 695, 998
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 725 are 5 x 5 x 29
Prime factors of 695 are 5 x 139
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 725, 695, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 725) = 104400
GCD(144, 725) = ( 144 x 725 ) / 104400
= 144 / 725
= 144
Step2:
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
= 1 / 695
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 144, 725, 695, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 725, 695, 998
The greatest common divisor of numbers 144, 725, 695, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 725, 695, 998 is 1.
1. What is the GCD of 144, 725, 695, 998?
GCD of given numbers 144, 725, 695, 998 is 1
2. How to calculate the greatest common divisor of 144, 725, 695, 998?
We can find the highest common divisor of 144, 725, 695, 998 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 144, 725, 695, 998 i.e 1.
3. How can I use the GCD of 144, 725, 695, 998Calculator?
Out the numbers 144, 725, 695, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.