Online GCD Calculator is useful to find the GCD of 175, 720, 320, 548 quickly. Get the easiest ways to solve the greatest common divisor of 175, 720, 320, 548 i.e 1 in different methods as follows.
Given Input numbers are 175, 720, 320, 548
In the factoring method, we have to find the divisors of all numbers
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (175, 720, 320, 548) = 1.
Given numbers are 175, 720, 320, 548
The list of prime factors of all numbers are
Prime factors of 175 are 5 x 5 x 7
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 548 are 2 x 2 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 175, 720, 320, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(175, 720) = 25200
GCD(175, 720) = ( 175 x 720 ) / 25200
= 175 / 720
= 175
Step2:
LCM(5, 320) = 320
GCD(5, 320) = ( 5 x 320 ) / 320
= 5 / 320
= 5
Step3:
LCM(5, 548) = 2740
GCD(5, 548) = ( 5 x 548 ) / 2740
= 5 / 548
= 5
So, Greatest Common Divisor of 175, 720, 320, 548 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 175, 720, 320, 548
The greatest common divisor of numbers 175, 720, 320, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 720, 320, 548 is 1.
1. What is the GCD of 175, 720, 320, 548?
GCD of given numbers 175, 720, 320, 548 is 1
2. How to calculate the greatest common divisor of 175, 720, 320, 548?
We can find the highest common divisor of 175, 720, 320, 548 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 175, 720, 320, 548 i.e 1.
3. How can I use the GCD of 175, 720, 320, 548Calculator?
Out the numbers 175, 720, 320, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.