Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 546/276,7872/2989
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 546,7872
Greatest Common Factor of Numerators i.e. GCF of 546,7872 is 6 .
LCM of Denominators means LCM of 276,2989 as per the given fractions.
LCM of 276,2989 is 824964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 546,7872
2 | 546, 7872 |
3 | 273, 3936 |
91, 1312 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 7872
List of positive integer factors of 7872 that divides 7872 without a remainder.
1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Greatest Common Factor
We found the factors 546,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 546,7872 is 6.
Lets's calculate LCM of 276,2989
Given numbers has no common factors except 1. So, there LCM is their product i.e 824964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/824964
Therefore, the GCF of Fractions 546/276,7872/2989 is 6/824964
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 276,2989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,2989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(276,2989) x common factors =1 x 1 = 1
LCM(276,2989) = ( 276 × 2989 ) / 1
LCM(276,2989) = 824964 / 1
LCM(276,2989) = 824964
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 546/276, 7872/2989?
Answer: GCF of Numerators as per given numbers 546/276, 7872/2989 is
GCF of Numerators i.e. for 546,7872 is 6
LCM of denominators i.e. for 276,2989 is 824964.
Thus, GCF of Fractions is 6/824964.Finally, GCF of Fractions for 546/276, 7872/2989 is 6/824964.