Use our free GCF of Fractions Calculator tool to compute the GCF of 954/115, 5468/695 i.e 2/15985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/115, 5468/695.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 954/115,5468/695
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 954/115,5468/695, numerators are 954,5468
Denominators are 115,695
The GCF of 954,5468 is 2 .
LCM of 115,695 is 15985.
The greatest common factor of 954/115,5468/695 = [GCF of 954,5468]/[LCM of 115,695]= 2/15985
Therefore, the GCF of 954/115,5468/695 is 2/15985.
To find the highest common factor of 954,5468, we have to find the factors of both numbers and list the highest common factor.
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The factors of 5468 are 1, 2, 4, 1367, 2734, 5468
The HCF of 954,5468 is 2.
Lets's calculate GCF of 954,5468
2 | 954, 5468 |
477, 2734 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Now, list down the factors of 5468
:1,2,4,1367,2734,5468
Greatest Common Factor
We found the factors 954,5468 . The biggest common factor number is the GCF number.
So the greatest common factor 954,5468 is 2.
Lets's calculate LCM of 115,695
5 | 115, 695 |
23, 139 |
∴ So the LCM of the given numbers is 5 x 23 x 139 = 15985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15985
Therefore, the GCF of Fractions 954/115,5468/695 is 2/15985
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 115,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,695) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(115,695) x common factors =5 x 1 = 5
LCM(115,695) = ( 115 × 695 ) / 5
LCM(115,695) = 79925 / 5
LCM(115,695) = 15985
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 954,5468?
The HCF of 954,5468 is 2
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 954/115, 5468/695?
Answer: GCF of Numerators as per given numbers 954/115, 5468/695 is
GCF of Numerators i.e. for 954,5468 is 2
LCM of denominators i.e. for 115,695 is 15985.
Thus, GCF of Fractions is 2/15985.Finally, GCF of Fractions for 954/115, 5468/695 is 2/15985.