Online GCD Calculator is useful to find the GCD of 699, 918, 496, 114 quickly. Get the easiest ways to solve the greatest common divisor of 699, 918, 496, 114 i.e 1 in different methods as follows.
Given Input numbers are 699, 918, 496, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
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 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (699, 918, 496, 114) = 1.
Given numbers are 699, 918, 496, 114
The list of prime factors of all numbers are
Prime factors of 699 are 3 x 233
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 699, 918, 496, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(699, 918) = 213894
GCD(699, 918) = ( 699 x 918 ) / 213894
= 699 / 918
= 699
Step2:
LCM(3, 496) = 1488
GCD(3, 496) = ( 3 x 496 ) / 1488
= 3 / 496
= 3
Step3:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 699, 918, 496, 114 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 699, 918, 496, 114
The greatest common divisor of numbers 699, 918, 496, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 918, 496, 114 is 1.
1. What is the GCD of 699, 918, 496, 114?
GCD of given numbers 699, 918, 496, 114 is 1
2. How to calculate the greatest common divisor of 699, 918, 496, 114?
We can find the highest common divisor of 699, 918, 496, 114 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 699, 918, 496, 114 i.e 1.
3. How can I use the GCD of 699, 918, 496, 114Calculator?
Out the numbers 699, 918, 496, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.