Online GCD Calculator is useful to find the GCD of 156, 354, 998 quickly. Get the easiest ways to solve the greatest common divisor of 156, 354, 998 i.e 2 in different methods as follows.
Given Input numbers are 156, 354, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (156, 354, 998) = 2.
Given numbers are 156, 354, 998
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 354 are 2 x 3 x 59
Prime factors of 998 are 2 x 499
The highest common occurrence is 21
Therefore, GCD of 156, 354, 998 is 2.
Given numbers are 156, 354, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 354) = 9204
GCD(156, 354) = ( 156 x 354 ) / 9204
= 156 / 354
= 156
Step2:
LCM(6, 998) = 2994
GCD(6, 998) = ( 6 x 998 ) / 2994
= 6 / 998
= 6
So, Greatest Common Divisor of 156, 354, 998 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 354, 998
The greatest common divisor of numbers 156, 354, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 354, 998 is 2.
1. What is the GCD of 156, 354, 998?
GCD of given numbers 156, 354, 998 is 2
2. How to calculate the greatest common divisor of 156, 354, 998?
We can find the highest common divisor of 156, 354, 998 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 156, 354, 998 i.e 2.
3. How can I use the GCD of 156, 354, 998Calculator?
Out the numbers 156, 354, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.