Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 998/3167,175/5788
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 998,175
Greatest Common Factor of Numerators i.e. GCF of 998,175 is 1 .
LCM of Denominators means LCM of 3167,5788 as per the given fractions.
LCM of 3167,5788 is 18330596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 998,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 998,175 . The biggest common factor number is the GCF number.
So the greatest common factor 998,175 is 1.
Lets's calculate LCM of 3167,5788
Given numbers has no common factors except 1. So, there LCM is their product i.e 18330596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18330596
Therefore, the GCF of Fractions 998/3167,175/5788 is 1/18330596
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3167,5788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3167,5788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3167,5788) x common factors =1 x 1 = 1
LCM(3167,5788) = ( 3167 × 5788 ) / 1
LCM(3167,5788) = 18330596 / 1
LCM(3167,5788) = 18330596
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 998/3167, 175/5788?
Answer: GCF of Numerators as per given numbers 998/3167, 175/5788 is
GCF of Numerators i.e. for 998,175 is 1
LCM of denominators i.e. for 3167,5788 is 18330596.
Thus, GCF of Fractions is 1/18330596.Finally, GCF of Fractions for 998/3167, 175/5788 is 1/18330596.