Use our free GCF of Fractions Calculator tool to compute the GCF of 911/584, 224/678 i.e 1/197976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/584, 224/678.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 911/584,224/678
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 911/584,224/678, numerators are 911,224
Denominators are 584,678
The GCF of 911,224 is 1 .
LCM of 584,678 is 197976.
The greatest common factor of 911/584,224/678 = [GCF of 911,224]/[LCM of 584,678]= 1/197976
Therefore, the GCF of 911/584,224/678 is 1/197976.
To find the highest common factor of 911,224, we have to find the factors of both numbers and list the highest common factor.
The factors of 911 are 1, 911
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The HCF of 911,224 is 1.
Lets's calculate GCF of 911,224
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 911
:1,911
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 911,224 . The biggest common factor number is the GCF number.
So the greatest common factor 911,224 is 1.
Lets's calculate LCM of 584,678
2 | 584, 678 |
292, 339 |
∴ So the LCM of the given numbers is 2 x 292 x 339 = 197976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197976
Therefore, the GCF of Fractions 911/584,224/678 is 1/197976
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 584,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(584,678) x common factors =2 x 1 = 2
LCM(584,678) = ( 584 × 678 ) / 2
LCM(584,678) = 395952 / 2
LCM(584,678) = 197976
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 911,224?
The HCF of 911,224 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 911/584, 224/678?
Answer: GCF of Numerators as per given numbers 911/584, 224/678 is
GCF of Numerators i.e. for 911,224 is 1
LCM of denominators i.e. for 584,678 is 197976.
Thus, GCF of Fractions is 1/197976.Finally, GCF of Fractions for 911/584, 224/678 is 1/197976.