Online GCD Calculator is useful to find the GCD of 342, 760, 116, 176 quickly. Get the easiest ways to solve the greatest common divisor of 342, 760, 116, 176 i.e 2 in different methods as follows.
Given Input numbers are 342, 760, 116, 176
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
GCD of numbers is the greatest common divisor
So, the GCD (342, 760, 116, 176) = 2.
Given numbers are 342, 760, 116, 176
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 116 are 2 x 2 x 29
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 342, 760, 116, 176 is 2.
Given numbers are 342, 760, 116, 176
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 760) = 6840
GCD(342, 760) = ( 342 x 760 ) / 6840
= 342 / 760
= 342
Step2:
LCM(38, 116) = 2204
GCD(38, 116) = ( 38 x 116 ) / 2204
= 38 / 116
= 38
Step3:
LCM(2, 176) = 176
GCD(2, 176) = ( 2 x 176 ) / 176
= 2 / 176
= 2
So, Greatest Common Divisor of 342, 760, 116, 176 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 760, 116, 176
The greatest common divisor of numbers 342, 760, 116, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 760, 116, 176 is 2.
1. What is the GCD of 342, 760, 116, 176?
GCD of given numbers 342, 760, 116, 176 is 2
2. How to calculate the greatest common divisor of 342, 760, 116, 176?
We can find the highest common divisor of 342, 760, 116, 176 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 342, 760, 116, 176 i.e 2.
3. How can I use the GCD of 342, 760, 116, 176Calculator?
Out the numbers 342, 760, 116, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.