Use our free GCF of Fractions Calculator tool to compute the GCF of 2917/25, 8834/120 i.e 1/600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2917/25, 8834/120.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2917/25,8834/120
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 2917/25,8834/120, numerators are 2917,8834
Denominators are 25,120
The GCF of 2917,8834 is 1 .
LCM of 25,120 is 600.
The greatest common factor of 2917/25,8834/120 = [GCF of 2917,8834]/[LCM of 25,120]= 1/600
Therefore, the GCF of 2917/25,8834/120 is 1/600.
To find the highest common factor of 2917,8834, we have to find the factors of both numbers and list the highest common factor.
The factors of 2917 are 1, 2917
The factors of 8834 are 1, 2, 7, 14, 631, 1262, 4417, 8834
The HCF of 2917,8834 is 1.
Lets's calculate GCF of 2917,8834
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2917
:1,2917
Now, list down the factors of 8834
:1,2,7,14,631,1262,4417,8834
Greatest Common Factor
We found the factors 2917,8834 . The biggest common factor number is the GCF number.
So the greatest common factor 2917,8834 is 1.
Lets's calculate LCM of 25,120
5 | 25, 120 |
5, 24 |
∴ So the LCM of the given numbers is 5 x 5 x 24 = 600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600
Therefore, the GCF of Fractions 2917/25,8834/120 is 1/600
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 25,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,120) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(25,120) x common factors =5 x 1 = 5
LCM(25,120) = ( 25 × 120 ) / 5
LCM(25,120) = 3000 / 5
LCM(25,120) = 600
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2917,8834?
The HCF of 2917,8834 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 2917/25, 8834/120?
Answer: GCF of Numerators as per given numbers 2917/25, 8834/120 is
GCF of Numerators i.e. for 2917,8834 is 1
LCM of denominators i.e. for 25,120 is 600.
Thus, GCF of Fractions is 1/600.Finally, GCF of Fractions for 2917/25, 8834/120 is 1/600.