Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 887/48,992/6723
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 887,992
Greatest Common Factor of Numerators i.e. GCF of 887,992 is 1 .
LCM of Denominators means LCM of 48,6723 as per the given fractions.
LCM of 48,6723 is 107568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 887,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 887,992 . The biggest common factor number is the GCF number.
So the greatest common factor 887,992 is 1.
Lets's calculate LCM of 48,6723
3 | 48, 6723 |
16, 2241 |
∴ So the LCM of the given numbers is 3 x 16 x 2241 = 107568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107568
Therefore, the GCF of Fractions 887/48,992/6723 is 1/107568
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 48,6723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,6723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(48,6723) x common factors =3 x 1 = 3
LCM(48,6723) = ( 48 × 6723 ) / 3
LCM(48,6723) = 322704 / 3
LCM(48,6723) = 107568
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 887/48, 992/6723?
Answer: GCF of Numerators as per given numbers 887/48, 992/6723 is
GCF of Numerators i.e. for 887,992 is 1
LCM of denominators i.e. for 48,6723 is 107568.
Thus, GCF of Fractions is 1/107568.Finally, GCF of Fractions for 887/48, 992/6723 is 1/107568.