Use our free GCF of Fractions Calculator tool to compute the GCF of 833/153, 867/295 i.e 17/45135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 833/153, 867/295.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 833/153,867/295
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 833/153,867/295, numerators are 833,867
Denominators are 153,295
The GCF of 833,867 is 17 .
LCM of 153,295 is 45135.
The greatest common factor of 833/153,867/295 = [GCF of 833,867]/[LCM of 153,295]= 17/45135
Therefore, the GCF of 833/153,867/295 is 17/45135.
To find the highest common factor of 833,867, we have to find the factors of both numbers and list the highest common factor.
The factors of 833 are 1, 7, 17, 49, 119, 833
The factors of 867 are 1, 3, 17, 51, 289, 867
The HCF of 833,867 is 17.
Lets's calculate GCF of 833,867
17 | 833, 867 |
49, 51 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 833
:1,7,17,49,119,833
Now, list down the factors of 867
:1,3,17,51,289,867
Greatest Common Factor
We found the factors 833,867 . The biggest common factor number is the GCF number.
So the greatest common factor 833,867 is 17.
Lets's calculate LCM of 153,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 45135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/45135
Therefore, the GCF of Fractions 833/153,867/295 is 17/45135
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 153,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,295) x common factors =1 x 1 = 1
LCM(153,295) = ( 153 × 295 ) / 1
LCM(153,295) = 45135 / 1
LCM(153,295) = 45135
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 833,867?
The HCF of 833,867 is 17
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 833/153, 867/295?
Answer: GCF of Numerators as per given numbers 833/153, 867/295 is
GCF of Numerators i.e. for 833,867 is 17
LCM of denominators i.e. for 153,295 is 45135.
Thus, GCF of Fractions is 17/45135.Finally, GCF of Fractions for 833/153, 867/295 is 17/45135.