Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9653/786,4287/8793
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 9653,4287
Greatest Common Factor of Numerators i.e. GCF of 9653,4287 is 1 .
LCM of Denominators means LCM of 786,8793 as per the given fractions.
LCM of 786,8793 is 2303766 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9653,4287
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9653
List of positive integer factors of 9653 that divides 9653 without a remainder.
1,7,49,197,1379,9653
Factors of 4287
List of positive integer factors of 4287 that divides 4287 without a remainder.
1,3,1429,4287
Greatest Common Factor
We found the factors 9653,4287 . The biggest common factor number is the GCF number.
So the greatest common factor 9653,4287 is 1.
Lets's calculate LCM of 786,8793
3 | 786, 8793 |
262, 2931 |
∴ So the LCM of the given numbers is 3 x 262 x 2931 = 2303766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2303766
Therefore, the GCF of Fractions 9653/786,4287/8793 is 1/2303766
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 786,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,8793) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(786,8793) x common factors =3 x 1 = 3
LCM(786,8793) = ( 786 × 8793 ) / 3
LCM(786,8793) = 6911298 / 3
LCM(786,8793) = 2303766
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 9653/786, 4287/8793?
Answer: GCF of Numerators as per given numbers 9653/786, 4287/8793 is
GCF of Numerators i.e. for 9653,4287 is 1
LCM of denominators i.e. for 786,8793 is 2303766.
Thus, GCF of Fractions is 1/2303766.Finally, GCF of Fractions for 9653/786, 4287/8793 is 1/2303766.