Online GCD Calculator is useful to find the GCD of 756, 700, 129, 116 quickly. Get the easiest ways to solve the greatest common divisor of 756, 700, 129, 116 i.e 1 in different methods as follows.
Given Input numbers are 756, 700, 129, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
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 (756, 700, 129, 116) = 1.
Given numbers are 756, 700, 129, 116
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 129 are 3 x 43
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 756, 700, 129, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 700) = 18900
GCD(756, 700) = ( 756 x 700 ) / 18900
= 756 / 700
= 756
Step2:
LCM(28, 129) = 3612
GCD(28, 129) = ( 28 x 129 ) / 3612
= 28 / 129
= 28
Step3:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
So, Greatest Common Divisor of 756, 700, 129, 116 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 700, 129, 116
The greatest common divisor of numbers 756, 700, 129, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 700, 129, 116 is 1.
1. What is the GCD of 756, 700, 129, 116?
GCD of given numbers 756, 700, 129, 116 is 1
2. How to calculate the greatest common divisor of 756, 700, 129, 116?
We can find the highest common divisor of 756, 700, 129, 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 756, 700, 129, 116 i.e 1.
3. How can I use the GCD of 756, 700, 129, 116Calculator?
Out the numbers 756, 700, 129, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.