Online GCD Calculator is useful to find the GCD of 732, 702, 112, 916 quickly. Get the easiest ways to solve the greatest common divisor of 732, 702, 112, 916 i.e 2 in different methods as follows.
Given Input numbers are 732, 702, 112, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (732, 702, 112, 916) = 2.
Given numbers are 732, 702, 112, 916
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 21
Therefore, GCD of 732, 702, 112, 916 is 2.
Given numbers are 732, 702, 112, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 702) = 85644
GCD(732, 702) = ( 732 x 702 ) / 85644
= 732 / 702
= 732
Step2:
LCM(6, 112) = 336
GCD(6, 112) = ( 6 x 112 ) / 336
= 6 / 112
= 6
Step3:
LCM(2, 916) = 916
GCD(2, 916) = ( 2 x 916 ) / 916
= 2 / 916
= 2
So, Greatest Common Divisor of 732, 702, 112, 916 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 702, 112, 916
The greatest common divisor of numbers 732, 702, 112, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 702, 112, 916 is 2.
1. What is the GCD of 732, 702, 112, 916?
GCD of given numbers 732, 702, 112, 916 is 2
2. How to calculate the greatest common divisor of 732, 702, 112, 916?
We can find the highest common divisor of 732, 702, 112, 916 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 732, 702, 112, 916 i.e 2.
3. How can I use the GCD of 732, 702, 112, 916Calculator?
Out the numbers 732, 702, 112, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.