Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/33,12/848,661/981
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 76,12,661
Greatest Common Factor of Numerators i.e. GCF of 76,12,661 is 1 .
LCM of Denominators means LCM of 33,848,981 as per the given fractions.
LCM of 33,848,981 is 9150768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,12,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 76,12,661 . The biggest common factor number is the GCF number.
So the greatest common factor 76,12,661 is 1.
Lets's calculate LCM of 33,848,981
3 | 33, 848, 981 |
11, 848, 327 |
∴ So the LCM of the given numbers is 3 x 11 x 848 x 327 = 9150768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9150768
Therefore, the GCF of Fractions 76/33,12/848,661/981 is 1/9150768
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 33,848,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,848,981) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(33,848,981) x common factors =1 x 3 = 3
LCM(33,848,981) = ( 33 × 848 × 981 ) / 3
LCM(33,848,981) = 27452304 / 3
LCM(33,848,981) = 9150768
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 76/33, 12/848, 661/981?
Answer: GCF of Numerators as per given numbers 76/33, 12/848, 661/981 is
GCF of Numerators i.e. for 76,12,661 is 1
LCM of denominators i.e. for 33,848,981 is 9150768.
Thus, GCF of Fractions is 1/9150768.Finally, GCF of Fractions for 76/33, 12/848, 661/981 is 1/9150768.