Online GCD Calculator is useful to find the GCD of 676, 770, 359, 198 quickly. Get the easiest ways to solve the greatest common divisor of 676, 770, 359, 198 i.e 1 in different methods as follows.
Given Input numbers are 676, 770, 359, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (676, 770, 359, 198) = 1.
Given numbers are 676, 770, 359, 198
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 359 are 359
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 676, 770, 359, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 770) = 260260
GCD(676, 770) = ( 676 x 770 ) / 260260
= 676 / 770
= 676
Step2:
LCM(2, 359) = 718
GCD(2, 359) = ( 2 x 359 ) / 718
= 2 / 359
= 2
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 676, 770, 359, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 770, 359, 198
The greatest common divisor of numbers 676, 770, 359, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 770, 359, 198 is 1.
1. What is the GCD of 676, 770, 359, 198?
GCD of given numbers 676, 770, 359, 198 is 1
2. How to calculate the greatest common divisor of 676, 770, 359, 198?
We can find the highest common divisor of 676, 770, 359, 198 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 676, 770, 359, 198 i.e 1.
3. How can I use the GCD of 676, 770, 359, 198Calculator?
Out the numbers 676, 770, 359, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.