Use our free GCF of Fractions Calculator tool to compute the GCF of 55/557, 18/830, 319/984 i.e 1/227456520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/557, 18/830, 319/984.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/557,18/830,319/984
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 55/557,18/830,319/984, numerators are 55,18,319
Denominators are 557,830,984
The GCF of 55,18,319 is 1 .
LCM of 557,830,984 is 227456520.
The greatest common factor of 55/557,18/830,319/984 = [GCF of 55,18,319]/[LCM of 557,830,984]= 1/227456520
Therefore, the GCF of 55/557,18/830,319/984 is 1/227456520.
To find the highest common factor of 55,18,319, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 319 are 1, 11, 29, 319
The HCF of 55,18,319 is 1.
Lets's calculate GCF of 55,18,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 319
:1,11,29,319
Greatest Common Factor
We found the factors 55,18,319 . The biggest common factor number is the GCF number.
So the greatest common factor 55,18,319 is 1.
Lets's calculate LCM of 557,830,984
2 | 557, 830, 984 |
557, 415, 492 |
∴ So the LCM of the given numbers is 2 x 557 x 415 x 492 = 227456520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227456520
Therefore, the GCF of Fractions 55/557,18/830,319/984 is 1/227456520
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 557,830,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,830,984) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(557,830,984) x common factors =1 x 2 = 2
LCM(557,830,984) = ( 557 × 830 × 984 ) / 2
LCM(557,830,984) = 454913040 / 2
LCM(557,830,984) = 227456520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,18,319?
The HCF of 55,18,319 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 55/557, 18/830, 319/984?
Answer: GCF of Numerators as per given numbers 55/557, 18/830, 319/984 is
GCF of Numerators i.e. for 55,18,319 is 1
LCM of denominators i.e. for 557,830,984 is 227456520.
Thus, GCF of Fractions is 1/227456520.Finally, GCF of Fractions for 55/557, 18/830, 319/984 is 1/227456520.