Online GCD Calculator is useful to find the GCD of 725, 886, 420, 144 quickly. Get the easiest ways to solve the greatest common divisor of 725, 886, 420, 144 i.e 1 in different methods as follows.
Given Input numbers are 725, 886, 420, 144
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 886 :
The positive integer divisors of 886 that completely divides 886 are.
1, 2, 443, 886
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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
GCD of numbers is the greatest common divisor
So, the GCD (725, 886, 420, 144) = 1.
Given numbers are 725, 886, 420, 144
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 886 are 2 x 443
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 725, 886, 420, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 886) = 642350
GCD(725, 886) = ( 725 x 886 ) / 642350
= 725 / 886
= 725
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 725, 886, 420, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 886, 420, 144
The greatest common divisor of numbers 725, 886, 420, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 886, 420, 144 is 1.
1. What is the GCD of 725, 886, 420, 144?
GCD of given numbers 725, 886, 420, 144 is 1
2. How to calculate the greatest common divisor of 725, 886, 420, 144?
We can find the highest common divisor of 725, 886, 420, 144 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, 886, 420, 144 i.e 1.
3. How can I use the GCD of 725, 886, 420, 144Calculator?
Out the numbers 725, 886, 420, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.