Online GCD Calculator is useful to find the GCD of 998, 886, 732, 920 quickly. Get the easiest ways to solve the greatest common divisor of 998, 886, 732, 920 i.e 2 in different methods as follows.
Given Input numbers are 998, 886, 732, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 886 :
The positive integer divisors of 886 that completely divides 886 are.
1, 2, 443, 886
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 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (998, 886, 732, 920) = 2.
Given numbers are 998, 886, 732, 920
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 886 are 2 x 443
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 998, 886, 732, 920 is 2.
Given numbers are 998, 886, 732, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 886) = 442114
GCD(998, 886) = ( 998 x 886 ) / 442114
= 998 / 886
= 998
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
= 2 / 920
= 2
So, Greatest Common Divisor of 998, 886, 732, 920 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 886, 732, 920
The greatest common divisor of numbers 998, 886, 732, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 886, 732, 920 is 2.
1. What is the GCD of 998, 886, 732, 920?
GCD of given numbers 998, 886, 732, 920 is 2
2. How to calculate the greatest common divisor of 998, 886, 732, 920?
We can find the highest common divisor of 998, 886, 732, 920 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 998, 886, 732, 920 i.e 2.
3. How can I use the GCD of 998, 886, 732, 920Calculator?
Out the numbers 998, 886, 732, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.