Use our free GCF of Fractions Calculator tool to compute the GCF of 1078/195, 2604/4254 i.e 14/276510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1078/195, 2604/4254.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1078/195,2604/4254
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 1078/195,2604/4254, numerators are 1078,2604
Denominators are 195,4254
The GCF of 1078,2604 is 14 .
LCM of 195,4254 is 276510.
The greatest common factor of 1078/195,2604/4254 = [GCF of 1078,2604]/[LCM of 195,4254]= 14/276510
Therefore, the GCF of 1078/195,2604/4254 is 14/276510.
To find the highest common factor of 1078,2604, we have to find the factors of both numbers and list the highest common factor.
The factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078
The factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604
The HCF of 1078,2604 is 14.
Lets's calculate GCF of 1078,2604
2 | 1078, 2604 |
7 | 539, 1302 |
77, 186 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 1078
:1,2,7,11,14,22,49,77,98,154,539,1078
Now, list down the factors of 2604
:1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604
Greatest Common Factor
We found the factors 1078,2604 . The biggest common factor number is the GCF number.
So the greatest common factor 1078,2604 is 14.
Lets's calculate LCM of 195,4254
3 | 195, 4254 |
65, 1418 |
∴ So the LCM of the given numbers is 3 x 65 x 1418 = 276510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/276510
Therefore, the GCF of Fractions 1078/195,2604/4254 is 14/276510
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 195,4254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,4254) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,4254) x common factors =3 x 1 = 3
LCM(195,4254) = ( 195 × 4254 ) / 3
LCM(195,4254) = 829530 / 3
LCM(195,4254) = 276510
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1078,2604?
The HCF of 1078,2604 is 14
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 1078/195, 2604/4254?
Answer: GCF of Numerators as per given numbers 1078/195, 2604/4254 is
GCF of Numerators i.e. for 1078,2604 is 14
LCM of denominators i.e. for 195,4254 is 276510.
Thus, GCF of Fractions is 14/276510.Finally, GCF of Fractions for 1078/195, 2604/4254 is 14/276510.