Online GCD Calculator is useful to find the GCD of 196, 397, 658, 960 quickly. Get the easiest ways to solve the greatest common divisor of 196, 397, 658, 960 i.e 1 in different methods as follows.
Given Input numbers are 196, 397, 658, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (196, 397, 658, 960) = 1.
Given numbers are 196, 397, 658, 960
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 397 are 397
Prime factors of 658 are 2 x 7 x 47
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 196, 397, 658, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 397) = 77812
GCD(196, 397) = ( 196 x 397 ) / 77812
= 196 / 397
= 196
Step2:
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
= 1 / 658
= 1
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 196, 397, 658, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 397, 658, 960
The greatest common divisor of numbers 196, 397, 658, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 397, 658, 960 is 1.
1. What is the GCD of 196, 397, 658, 960?
GCD of given numbers 196, 397, 658, 960 is 1
2. How to calculate the greatest common divisor of 196, 397, 658, 960?
We can find the highest common divisor of 196, 397, 658, 960 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 196, 397, 658, 960 i.e 1.
3. How can I use the GCD of 196, 397, 658, 960Calculator?
Out the numbers 196, 397, 658, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.