Online GCD Calculator is useful to find the GCD of 197, 354, 660, 675 quickly. Get the easiest ways to solve the greatest common divisor of 197, 354, 660, 675 i.e 1 in different methods as follows.
Given Input numbers are 197, 354, 660, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 197 :
The positive integer divisors of 197 that completely divides 197 are.
1, 197
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (197, 354, 660, 675) = 1.
Given numbers are 197, 354, 660, 675
The list of prime factors of all numbers are
Prime factors of 197 are 197
Prime factors of 354 are 2 x 3 x 59
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 197, 354, 660, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(197, 354) = 69738
GCD(197, 354) = ( 197 x 354 ) / 69738
= 197 / 354
= 197
Step2:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
Step3:
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
= 1 / 675
= 1
So, Greatest Common Divisor of 197, 354, 660, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 197, 354, 660, 675
The greatest common divisor of numbers 197, 354, 660, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 197, 354, 660, 675 is 1.
1. What is the GCD of 197, 354, 660, 675?
GCD of given numbers 197, 354, 660, 675 is 1
2. How to calculate the greatest common divisor of 197, 354, 660, 675?
We can find the highest common divisor of 197, 354, 660, 675 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 197, 354, 660, 675 i.e 1.
3. How can I use the GCD of 197, 354, 660, 675Calculator?
Out the numbers 197, 354, 660, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.