Online GCD Calculator is useful to find the GCD of 118, 818, 902, 748 quickly. Get the easiest ways to solve the greatest common divisor of 118, 818, 902, 748 i.e 2 in different methods as follows.
Given Input numbers are 118, 818, 902, 748
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 818 :
The positive integer divisors of 818 that completely divides 818 are.
1, 2, 409, 818
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (118, 818, 902, 748) = 2.
Given numbers are 118, 818, 902, 748
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 818 are 2 x 409
Prime factors of 902 are 2 x 11 x 41
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 118, 818, 902, 748 is 2.
Given numbers are 118, 818, 902, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 818) = 48262
GCD(118, 818) = ( 118 x 818 ) / 48262
= 118 / 818
= 118
Step2:
LCM(2, 902) = 902
GCD(2, 902) = ( 2 x 902 ) / 902
= 2 / 902
= 2
Step3:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
So, Greatest Common Divisor of 118, 818, 902, 748 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 818, 902, 748
The greatest common divisor of numbers 118, 818, 902, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 818, 902, 748 is 2.
1. What is the GCD of 118, 818, 902, 748?
GCD of given numbers 118, 818, 902, 748 is 2
2. How to calculate the greatest common divisor of 118, 818, 902, 748?
We can find the highest common divisor of 118, 818, 902, 748 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, 818, 902, 748 i.e 2.
3. How can I use the GCD of 118, 818, 902, 748Calculator?
Out the numbers 118, 818, 902, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.