Online GCD Calculator is useful to find the GCD of 749, 168, 108, 116 quickly. Get the easiest ways to solve the greatest common divisor of 749, 168, 108, 116 i.e 1 in different methods as follows.
Given Input numbers are 749, 168, 108, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (749, 168, 108, 116) = 1.
Given numbers are 749, 168, 108, 116
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 116 are 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 749, 168, 108, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 168) = 17976
GCD(749, 168) = ( 749 x 168 ) / 17976
= 749 / 168
= 749
Step2:
LCM(7, 108) = 756
GCD(7, 108) = ( 7 x 108 ) / 756
= 7 / 108
= 7
Step3:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
So, Greatest Common Divisor of 749, 168, 108, 116 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 749, 168, 108, 116
The greatest common divisor of numbers 749, 168, 108, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 168, 108, 116 is 1.
1. What is the GCD of 749, 168, 108, 116?
GCD of given numbers 749, 168, 108, 116 is 1
2. How to calculate the greatest common divisor of 749, 168, 108, 116?
We can find the highest common divisor of 749, 168, 108, 116 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 749, 168, 108, 116 i.e 1.
3. How can I use the GCD of 749, 168, 108, 116Calculator?
Out the numbers 749, 168, 108, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.