Online GCD Calculator is useful to find the GCD of 785, 368, 700, 198 quickly. Get the easiest ways to solve the greatest common divisor of 785, 368, 700, 198 i.e 1 in different methods as follows.
Given Input numbers are 785, 368, 700, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 785 :
The positive integer divisors of 785 that completely divides 785 are.
1, 5, 157, 785
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
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 (785, 368, 700, 198) = 1.
Given numbers are 785, 368, 700, 198
The list of prime factors of all numbers are
Prime factors of 785 are 5 x 157
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
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 785, 368, 700, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(785, 368) = 288880
GCD(785, 368) = ( 785 x 368 ) / 288880
= 785 / 368
= 785
Step2:
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
= 1 / 700
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 785, 368, 700, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 785, 368, 700, 198
The greatest common divisor of numbers 785, 368, 700, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 368, 700, 198 is 1.
1. What is the GCD of 785, 368, 700, 198?
GCD of given numbers 785, 368, 700, 198 is 1
2. How to calculate the greatest common divisor of 785, 368, 700, 198?
We can find the highest common divisor of 785, 368, 700, 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 785, 368, 700, 198 i.e 1.
3. How can I use the GCD of 785, 368, 700, 198Calculator?
Out the numbers 785, 368, 700, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.