Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 159/88,824/793
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 159,824
Greatest Common Factor of Numerators i.e. GCF of 159,824 is 1 .
LCM of Denominators means LCM of 88,793 as per the given fractions.
LCM of 88,793 is 69784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 159,824
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 159,824 . The biggest common factor number is the GCF number.
So the greatest common factor 159,824 is 1.
Lets's calculate LCM of 88,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 69784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69784
Therefore, the GCF of Fractions 159/88,824/793 is 1/69784
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 88,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,793) x common factors =1 x 1 = 1
LCM(88,793) = ( 88 × 793 ) / 1
LCM(88,793) = 69784 / 1
LCM(88,793) = 69784
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 159/88, 824/793?
Answer: GCF of Numerators as per given numbers 159/88, 824/793 is
GCF of Numerators i.e. for 159,824 is 1
LCM of denominators i.e. for 88,793 is 69784.
Thus, GCF of Fractions is 1/69784.Finally, GCF of Fractions for 159/88, 824/793 is 1/69784.