Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/24,9703/843
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 925,9703
Greatest Common Factor of Numerators i.e. GCF of 925,9703 is 1 .
LCM of Denominators means LCM of 24,843 as per the given fractions.
LCM of 24,843 is 6744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,9703
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 9703
List of positive integer factors of 9703 that divides 9703 without a remainder.
1,31,313,9703
Greatest Common Factor
We found the factors 925,9703 . The biggest common factor number is the GCF number.
So the greatest common factor 925,9703 is 1.
Lets's calculate LCM of 24,843
3 | 24, 843 |
8, 281 |
∴ So the LCM of the given numbers is 3 x 8 x 281 = 6744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6744
Therefore, the GCF of Fractions 925/24,9703/843 is 1/6744
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 24,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,843) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(24,843) x common factors =3 x 1 = 3
LCM(24,843) = ( 24 × 843 ) / 3
LCM(24,843) = 20232 / 3
LCM(24,843) = 6744
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 925/24, 9703/843?
Answer: GCF of Numerators as per given numbers 925/24, 9703/843 is
GCF of Numerators i.e. for 925,9703 is 1
LCM of denominators i.e. for 24,843 is 6744.
Thus, GCF of Fractions is 1/6744.Finally, GCF of Fractions for 925/24, 9703/843 is 1/6744.