Use our free GCF of Fractions Calculator tool to compute the GCF of 55/304, 78/637, 318/632 i.e 1/15298192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/304, 78/637, 318/632.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/304,78/637,318/632
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 55/304,78/637,318/632, numerators are 55,78,318
Denominators are 304,637,632
The GCF of 55,78,318 is 1 .
LCM of 304,637,632 is 15298192.
The greatest common factor of 55/304,78/637,318/632 = [GCF of 55,78,318]/[LCM of 304,637,632]= 1/15298192
Therefore, the GCF of 55/304,78/637,318/632 is 1/15298192.
To find the highest common factor of 55,78,318, 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 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 55,78,318 is 1.
Lets's calculate GCF of 55,78,318
∴ 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 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 55,78,318 . The biggest common factor number is the GCF number.
So the greatest common factor 55,78,318 is 1.
Lets's calculate LCM of 304,637,632
2 | 304, 637, 632 |
2 | 152, 637, 316 |
2 | 76, 637, 158 |
38, 637, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 38 x 637 x 79 = 15298192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15298192
Therefore, the GCF of Fractions 55/304,78/637,318/632 is 1/15298192
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 304,637,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,637,632) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(304,637,632) x common factors =1 x 8 = 8
LCM(304,637,632) = ( 304 × 637 × 632 ) / 8
LCM(304,637,632) = 122385536 / 8
LCM(304,637,632) = 15298192
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,78,318?
The HCF of 55,78,318 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 55/304, 78/637, 318/632?
Answer: GCF of Numerators as per given numbers 55/304, 78/637, 318/632 is
GCF of Numerators i.e. for 55,78,318 is 1
LCM of denominators i.e. for 304,637,632 is 15298192.
Thus, GCF of Fractions is 1/15298192.Finally, GCF of Fractions for 55/304, 78/637, 318/632 is 1/15298192.