Use our free GCF of Fractions Calculator tool to compute the GCF of 15/98, 902/40, 962/648 i.e 1/158760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/98, 902/40, 962/648.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/98,902/40,962/648
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 15/98,902/40,962/648, numerators are 15,902,962
Denominators are 98,40,648
The GCF of 15,902,962 is 1 .
LCM of 98,40,648 is 158760.
The greatest common factor of 15/98,902/40,962/648 = [GCF of 15,902,962]/[LCM of 98,40,648]= 1/158760
Therefore, the GCF of 15/98,902/40,962/648 is 1/158760.
To find the highest common factor of 15,902,962, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The HCF of 15,902,962 is 1.
Lets's calculate GCF of 15,902,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 15,902,962 . The biggest common factor number is the GCF number.
So the greatest common factor 15,902,962 is 1.
Lets's calculate LCM of 98,40,648
2 | 98, 40, 648 |
2 | 49, 20, 324 |
2 | 49, 10, 162 |
49, 5, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 5 x 81 = 158760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158760
Therefore, the GCF of Fractions 15/98,902/40,962/648 is 1/158760
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 98,40,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,40,648) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(98,40,648) x common factors =2 x 8 = 16
LCM(98,40,648) = ( 98 × 40 × 648 ) / 16
LCM(98,40,648) = 2540160 / 16
LCM(98,40,648) = 158760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,902,962?
The HCF of 15,902,962 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 15/98, 902/40, 962/648?
Answer: GCF of Numerators as per given numbers 15/98, 902/40, 962/648 is
GCF of Numerators i.e. for 15,902,962 is 1
LCM of denominators i.e. for 98,40,648 is 158760.
Thus, GCF of Fractions is 1/158760.Finally, GCF of Fractions for 15/98, 902/40, 962/648 is 1/158760.