Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 773/257,331/310,751/845
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 773,331,751
Greatest Common Factor of Numerators i.e. GCF of 773,331,751 is 1 .
LCM of Denominators means LCM of 257,310,845 as per the given fractions.
LCM of 257,310,845 is 13464230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 773,331,751
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Greatest Common Factor
We found the factors 773,331,751 . The biggest common factor number is the GCF number.
So the greatest common factor 773,331,751 is 1.
Lets's calculate LCM of 257,310,845
5 | 257, 310, 845 |
257, 62, 169 |
∴ So the LCM of the given numbers is 5 x 257 x 62 x 169 = 13464230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13464230
Therefore, the GCF of Fractions 773/257,331/310,751/845 is 1/13464230
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 257,310,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,310,845) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(257,310,845) x common factors =1 x 5 = 5
LCM(257,310,845) = ( 257 × 310 × 845 ) / 5
LCM(257,310,845) = 67321150 / 5
LCM(257,310,845) = 13464230
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 773/257, 331/310, 751/845?
Answer: GCF of Numerators as per given numbers 773/257, 331/310, 751/845 is
GCF of Numerators i.e. for 773,331,751 is 1
LCM of denominators i.e. for 257,310,845 is 13464230.
Thus, GCF of Fractions is 1/13464230.Finally, GCF of Fractions for 773/257, 331/310, 751/845 is 1/13464230.