Online GCD Calculator is useful to find the GCD of 802, 100, 902, 928 quickly. Get the easiest ways to solve the greatest common divisor of 802, 100, 902, 928 i.e 2 in different methods as follows.
Given Input numbers are 802, 100, 902, 928
In the factoring method, we have to find the divisors of all numbers
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
GCD of numbers is the greatest common divisor
So, the GCD (802, 100, 902, 928) = 2.
Given numbers are 802, 100, 902, 928
The list of prime factors of all numbers are
Prime factors of 802 are 2 x 401
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 902 are 2 x 11 x 41
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 802, 100, 902, 928 is 2.
Given numbers are 802, 100, 902, 928
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(802, 100) = 40100
GCD(802, 100) = ( 802 x 100 ) / 40100
= 802 / 100
= 802
Step2:
LCM(2, 902) = 902
GCD(2, 902) = ( 2 x 902 ) / 902
= 2 / 902
= 2
Step3:
LCM(2, 928) = 928
GCD(2, 928) = ( 2 x 928 ) / 928
= 2 / 928
= 2
So, Greatest Common Divisor of 802, 100, 902, 928 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 802, 100, 902, 928
The greatest common divisor of numbers 802, 100, 902, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 100, 902, 928 is 2.
1. What is the GCD of 802, 100, 902, 928?
GCD of given numbers 802, 100, 902, 928 is 2
2. How to calculate the greatest common divisor of 802, 100, 902, 928?
We can find the highest common divisor of 802, 100, 902, 928 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 802, 100, 902, 928 i.e 2.
3. How can I use the GCD of 802, 100, 902, 928Calculator?
Out the numbers 802, 100, 902, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.