Online GCD Calculator is useful to find the GCD of 189, 354, 928, 699 quickly. Get the easiest ways to solve the greatest common divisor of 189, 354, 928, 699 i.e 1 in different methods as follows.
Given Input numbers are 189, 354, 928, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (189, 354, 928, 699) = 1.
Given numbers are 189, 354, 928, 699
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 354 are 2 x 3 x 59
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 699 are 3 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 354, 928, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 354) = 22302
GCD(189, 354) = ( 189 x 354 ) / 22302
= 189 / 354
= 189
Step2:
LCM(3, 928) = 2784
GCD(3, 928) = ( 3 x 928 ) / 2784
= 3 / 928
= 3
Step3:
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
= 1 / 699
= 1
So, Greatest Common Divisor of 189, 354, 928, 699 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 354, 928, 699
The greatest common divisor of numbers 189, 354, 928, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 354, 928, 699 is 1.
1. What is the GCD of 189, 354, 928, 699?
GCD of given numbers 189, 354, 928, 699 is 1
2. How to calculate the greatest common divisor of 189, 354, 928, 699?
We can find the highest common divisor of 189, 354, 928, 699 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 189, 354, 928, 699 i.e 1.
3. How can I use the GCD of 189, 354, 928, 699Calculator?
Out the numbers 189, 354, 928, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.