Online GCD Calculator is useful to find the GCD of 918, 991, 714, 207 quickly. Get the easiest ways to solve the greatest common divisor of 918, 991, 714, 207 i.e 1 in different methods as follows.
Given Input numbers are 918, 991, 714, 207
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
GCD of numbers is the greatest common divisor
So, the GCD (918, 991, 714, 207) = 1.
Given numbers are 918, 991, 714, 207
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 991 are 991
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 207 are 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 918, 991, 714, 207
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 991) = 909738
GCD(918, 991) = ( 918 x 991 ) / 909738
= 918 / 991
= 918
Step2:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
Step3:
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
= 1 / 207
= 1
So, Greatest Common Divisor of 918, 991, 714, 207 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 991, 714, 207
The greatest common divisor of numbers 918, 991, 714, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 991, 714, 207 is 1.
1. What is the GCD of 918, 991, 714, 207?
GCD of given numbers 918, 991, 714, 207 is 1
2. How to calculate the greatest common divisor of 918, 991, 714, 207?
We can find the highest common divisor of 918, 991, 714, 207 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 918, 991, 714, 207 i.e 1.
3. How can I use the GCD of 918, 991, 714, 207Calculator?
Out the numbers 918, 991, 714, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.