Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/64,550/66,393/257
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 63,550,393
Greatest Common Factor of Numerators i.e. GCF of 63,550,393 is 1 .
LCM of Denominators means LCM of 64,66,257 as per the given fractions.
LCM of 64,66,257 is 542784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,550,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 63,550,393 . The biggest common factor number is the GCF number.
So the greatest common factor 63,550,393 is 1.
Lets's calculate LCM of 64,66,257
2 | 64, 66, 257 |
32, 33, 257 |
∴ So the LCM of the given numbers is 2 x 32 x 33 x 257 = 542784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/542784
Therefore, the GCF of Fractions 63/64,550/66,393/257 is 1/542784
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 64,66,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,66,257) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,66,257) x common factors =1 x 2 = 2
LCM(64,66,257) = ( 64 × 66 × 257 ) / 2
LCM(64,66,257) = 1085568 / 2
LCM(64,66,257) = 542784
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 63/64, 550/66, 393/257?
Answer: GCF of Numerators as per given numbers 63/64, 550/66, 393/257 is
GCF of Numerators i.e. for 63,550,393 is 1
LCM of denominators i.e. for 64,66,257 is 542784.
Thus, GCF of Fractions is 1/542784.Finally, GCF of Fractions for 63/64, 550/66, 393/257 is 1/542784.