Online GCD Calculator is useful to find the GCD of 187, 338, 354, 692 quickly. Get the easiest ways to solve the greatest common divisor of 187, 338, 354, 692 i.e 1 in different methods as follows.
Given Input numbers are 187, 338, 354, 692
In the factoring method, we have to find the divisors of all numbers
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
GCD of numbers is the greatest common divisor
So, the GCD (187, 338, 354, 692) = 1.
Given numbers are 187, 338, 354, 692
The list of prime factors of all numbers are
Prime factors of 187 are 11 x 17
Prime factors of 338 are 2 x 13 x 13
Prime factors of 354 are 2 x 3 x 59
Prime factors of 692 are 2 x 2 x 173
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 187, 338, 354, 692
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(187, 338) = 63206
GCD(187, 338) = ( 187 x 338 ) / 63206
= 187 / 338
= 187
Step2:
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
= 1 / 354
= 1
Step3:
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
= 1 / 692
= 1
So, Greatest Common Divisor of 187, 338, 354, 692 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 187, 338, 354, 692
The greatest common divisor of numbers 187, 338, 354, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 187, 338, 354, 692 is 1.
1. What is the GCD of 187, 338, 354, 692?
GCD of given numbers 187, 338, 354, 692 is 1
2. How to calculate the greatest common divisor of 187, 338, 354, 692?
We can find the highest common divisor of 187, 338, 354, 692 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 187, 338, 354, 692 i.e 1.
3. How can I use the GCD of 187, 338, 354, 692Calculator?
Out the numbers 187, 338, 354, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.