Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 892/952,9247/1908
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 892,9247
Greatest Common Factor of Numerators i.e. GCF of 892,9247 is 1 .
LCM of Denominators means LCM of 952,1908 as per the given fractions.
LCM of 952,1908 is 454104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 892,9247
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 9247
List of positive integer factors of 9247 that divides 9247 without a remainder.
1,7,1321,9247
Greatest Common Factor
We found the factors 892,9247 . The biggest common factor number is the GCF number.
So the greatest common factor 892,9247 is 1.
Lets's calculate LCM of 952,1908
2 | 952, 1908 |
2 | 476, 954 |
238, 477 |
∴ So the LCM of the given numbers is 2 x 2 x 238 x 477 = 454104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454104
Therefore, the GCF of Fractions 892/952,9247/1908 is 1/454104
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 952,1908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,1908) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(952,1908) x common factors =4 x 1 = 4
LCM(952,1908) = ( 952 × 1908 ) / 4
LCM(952,1908) = 1816416 / 4
LCM(952,1908) = 454104
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 892/952, 9247/1908?
Answer: GCF of Numerators as per given numbers 892/952, 9247/1908 is
GCF of Numerators i.e. for 892,9247 is 1
LCM of denominators i.e. for 952,1908 is 454104.
Thus, GCF of Fractions is 1/454104.Finally, GCF of Fractions for 892/952, 9247/1908 is 1/454104.