Online GCD Calculator is useful to find the GCD of 118, 112, 802 quickly. Get the easiest ways to solve the greatest common divisor of 118, 112, 802 i.e 2 in different methods as follows.
Given Input numbers are 118, 112, 802
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
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 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
GCD of numbers is the greatest common divisor
So, the GCD (118, 112, 802) = 2.
Given numbers are 118, 112, 802
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 802 are 2 x 401
The highest common occurrence is 21
Therefore, GCD of 118, 112, 802 is 2.
Given numbers are 118, 112, 802
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 112) = 6608
GCD(118, 112) = ( 118 x 112 ) / 6608
= 118 / 112
= 118
Step2:
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
= 2 / 802
= 2
So, Greatest Common Divisor of 118, 112, 802 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 112, 802
The greatest common divisor of numbers 118, 112, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 112, 802 is 2.
1. What is the GCD of 118, 112, 802?
GCD of given numbers 118, 112, 802 is 2
2. How to calculate the greatest common divisor of 118, 112, 802?
We can find the highest common divisor of 118, 112, 802 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 118, 112, 802 i.e 2.
3. How can I use the GCD of 118, 112, 802Calculator?
Out the numbers 118, 112, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.