Online GCD Calculator is useful to find the GCD of 561, 725, 360, 154 quickly. Get the easiest ways to solve the greatest common divisor of 561, 725, 360, 154 i.e 1 in different methods as follows.
Given Input numbers are 561, 725, 360, 154
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
GCD of numbers is the greatest common divisor
So, the GCD (561, 725, 360, 154) = 1.
Given numbers are 561, 725, 360, 154
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 725 are 5 x 5 x 29
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 154 are 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 725, 360, 154
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 725) = 406725
GCD(561, 725) = ( 561 x 725 ) / 406725
= 561 / 725
= 561
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
= 1 / 154
= 1
So, Greatest Common Divisor of 561, 725, 360, 154 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 725, 360, 154
The greatest common divisor of numbers 561, 725, 360, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 725, 360, 154 is 1.
1. What is the GCD of 561, 725, 360, 154?
GCD of given numbers 561, 725, 360, 154 is 1
2. How to calculate the greatest common divisor of 561, 725, 360, 154?
We can find the highest common divisor of 561, 725, 360, 154 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 561, 725, 360, 154 i.e 1.
3. How can I use the GCD of 561, 725, 360, 154Calculator?
Out the numbers 561, 725, 360, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.