Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6528/174,7658/981
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 6528,7658
Greatest Common Factor of Numerators i.e. GCF of 6528,7658 is 2 .
LCM of Denominators means LCM of 174,981 as per the given fractions.
LCM of 174,981 is 56898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6528,7658
2 | 6528, 7658 |
3264, 3829 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6528
List of positive integer factors of 6528 that divides 6528 without a remainder.
1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Factors of 7658
List of positive integer factors of 7658 that divides 7658 without a remainder.
1,2,7,14,547,1094,3829,7658
Greatest Common Factor
We found the factors 6528,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 6528,7658 is 2.
Lets's calculate LCM of 174,981
3 | 174, 981 |
58, 327 |
∴ So the LCM of the given numbers is 3 x 58 x 327 = 56898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56898
Therefore, the GCF of Fractions 6528/174,7658/981 is 2/56898
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 174,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,981) x common factors =3 x 1 = 3
LCM(174,981) = ( 174 × 981 ) / 3
LCM(174,981) = 170694 / 3
LCM(174,981) = 56898
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 6528/174, 7658/981?
Answer: GCF of Numerators as per given numbers 6528/174, 7658/981 is
GCF of Numerators i.e. for 6528,7658 is 2
LCM of denominators i.e. for 174,981 is 56898.
Thus, GCF of Fractions is 2/56898.Finally, GCF of Fractions for 6528/174, 7658/981 is 2/56898.