Online GCD Calculator is useful to find the GCD of 187, 308, 540, 691 quickly. Get the easiest ways to solve the greatest common divisor of 187, 308, 540, 691 i.e 1 in different methods as follows.
Given Input numbers are 187, 308, 540, 691
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 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
GCD of numbers is the greatest common divisor
So, the GCD (187, 308, 540, 691) = 1.
Given numbers are 187, 308, 540, 691
The list of prime factors of all numbers are
Prime factors of 187 are 11 x 17
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 691 are 691
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 187, 308, 540, 691
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(187, 308) = 5236
GCD(187, 308) = ( 187 x 308 ) / 5236
= 187 / 308
= 187
Step2:
LCM(11, 540) = 5940
GCD(11, 540) = ( 11 x 540 ) / 5940
= 11 / 540
= 11
Step3:
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
= 1 / 691
= 1
So, Greatest Common Divisor of 187, 308, 540, 691 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 187, 308, 540, 691
The greatest common divisor of numbers 187, 308, 540, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 187, 308, 540, 691 is 1.
1. What is the GCD of 187, 308, 540, 691?
GCD of given numbers 187, 308, 540, 691 is 1
2. How to calculate the greatest common divisor of 187, 308, 540, 691?
We can find the highest common divisor of 187, 308, 540, 691 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, 308, 540, 691 i.e 1.
3. How can I use the GCD of 187, 308, 540, 691Calculator?
Out the numbers 187, 308, 540, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.