Online GCD Calculator is useful to find the GCD of 920, 778, 513, 198 quickly. Get the easiest ways to solve the greatest common divisor of 920, 778, 513, 198 i.e 1 in different methods as follows.
Given Input numbers are 920, 778, 513, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
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 (920, 778, 513, 198) = 1.
Given numbers are 920, 778, 513, 198
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 778 are 2 x 389
Prime factors of 513 are 3 x 3 x 3 x 19
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 920, 778, 513, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 778) = 357880
GCD(920, 778) = ( 920 x 778 ) / 357880
= 920 / 778
= 920
Step2:
LCM(2, 513) = 1026
GCD(2, 513) = ( 2 x 513 ) / 1026
= 2 / 513
= 2
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 920, 778, 513, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 778, 513, 198
The greatest common divisor of numbers 920, 778, 513, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 778, 513, 198 is 1.
1. What is the GCD of 920, 778, 513, 198?
GCD of given numbers 920, 778, 513, 198 is 1
2. How to calculate the greatest common divisor of 920, 778, 513, 198?
We can find the highest common divisor of 920, 778, 513, 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 920, 778, 513, 198 i.e 1.
3. How can I use the GCD of 920, 778, 513, 198Calculator?
Out the numbers 920, 778, 513, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.