Online GCD Calculator is useful to find the GCD of 378, 169, 191, 735 quickly. Get the easiest ways to solve the greatest common divisor of 378, 169, 191, 735 i.e 1 in different methods as follows.
Given Input numbers are 378, 169, 191, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 191 :
The positive integer divisors of 191 that completely divides 191 are.
1, 191
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (378, 169, 191, 735) = 1.
Given numbers are 378, 169, 191, 735
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 169 are 13 x 13
Prime factors of 191 are 191
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 169, 191, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 169) = 63882
GCD(378, 169) = ( 378 x 169 ) / 63882
= 378 / 169
= 378
Step2:
LCM(1, 191) = 191
GCD(1, 191) = ( 1 x 191 ) / 191
= 1 / 191
= 1
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 378, 169, 191, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 169, 191, 735
The greatest common divisor of numbers 378, 169, 191, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 169, 191, 735 is 1.
1. What is the GCD of 378, 169, 191, 735?
GCD of given numbers 378, 169, 191, 735 is 1
2. How to calculate the greatest common divisor of 378, 169, 191, 735?
We can find the highest common divisor of 378, 169, 191, 735 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 378, 169, 191, 735 i.e 1.
3. How can I use the GCD of 378, 169, 191, 735Calculator?
Out the numbers 378, 169, 191, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.