Use our free GCF of Fractions Calculator tool to compute the GCF of 13/969, 51/948, 221/304 i.e 1/1224816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/969, 51/948, 221/304.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/969,51/948,221/304
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 13/969,51/948,221/304, numerators are 13,51,221
Denominators are 969,948,304
The GCF of 13,51,221 is 1 .
LCM of 969,948,304 is 1224816.
The greatest common factor of 13/969,51/948,221/304 = [GCF of 13,51,221]/[LCM of 969,948,304]= 1/1224816
Therefore, the GCF of 13/969,51/948,221/304 is 1/1224816.
To find the highest common factor of 13,51,221, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 51 are 1, 3, 17, 51
The factors of 221 are 1, 13, 17, 221
The HCF of 13,51,221 is 1.
Lets's calculate GCF of 13,51,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 221
:1,13,17,221
Greatest Common Factor
We found the factors 13,51,221 . The biggest common factor number is the GCF number.
So the greatest common factor 13,51,221 is 1.
Lets's calculate LCM of 969,948,304
2 | 969, 948, 304 |
2 | 969, 474, 152 |
3 | 969, 237, 76 |
19 | 323, 79, 76 |
17, 79, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 17 x 79 x 4 = 1224816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1224816
Therefore, the GCF of Fractions 13/969,51/948,221/304 is 1/1224816
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 969,948,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,948,304) = 1
common factors(in case of two or more numbers have common factors) = 228
GCF(969,948,304) x common factors =1 x 228 = 228
LCM(969,948,304) = ( 969 × 948 × 304 ) / 228
LCM(969,948,304) = 279258048 / 228
LCM(969,948,304) = 1224816
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,51,221?
The HCF of 13,51,221 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 13/969, 51/948, 221/304?
Answer: GCF of Numerators as per given numbers 13/969, 51/948, 221/304 is
GCF of Numerators i.e. for 13,51,221 is 1
LCM of denominators i.e. for 969,948,304 is 1224816.
Thus, GCF of Fractions is 1/1224816.Finally, GCF of Fractions for 13/969, 51/948, 221/304 is 1/1224816.