Online GCD Calculator is useful to find the GCD of 998, 848, 718, 924 quickly. Get the easiest ways to solve the greatest common divisor of 998, 848, 718, 924 i.e 2 in different methods as follows.
Given Input numbers are 998, 848, 718, 924
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 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (998, 848, 718, 924) = 2.
Given numbers are 998, 848, 718, 924
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 718 are 2 x 359
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 998, 848, 718, 924 is 2.
Given numbers are 998, 848, 718, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 848) = 423152
GCD(998, 848) = ( 998 x 848 ) / 423152
= 998 / 848
= 998
Step2:
LCM(2, 718) = 718
GCD(2, 718) = ( 2 x 718 ) / 718
= 2 / 718
= 2
Step3:
LCM(2, 924) = 924
GCD(2, 924) = ( 2 x 924 ) / 924
= 2 / 924
= 2
So, Greatest Common Divisor of 998, 848, 718, 924 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 848, 718, 924
The greatest common divisor of numbers 998, 848, 718, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 848, 718, 924 is 2.
1. What is the GCD of 998, 848, 718, 924?
GCD of given numbers 998, 848, 718, 924 is 2
2. How to calculate the greatest common divisor of 998, 848, 718, 924?
We can find the highest common divisor of 998, 848, 718, 924 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, 848, 718, 924 i.e 2.
3. How can I use the GCD of 998, 848, 718, 924Calculator?
Out the numbers 998, 848, 718, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.