GCF of 8047/878, 3302/450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8047/878, 3302/450 i.e 13/197550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8047/878, 3302/450.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8047/878,3302/450?
Given fractions are 8047/878,3302/450
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 8047/878,3302/450, numerators are 8047,3302
Denominators are 878,450
The GCF of 8047,3302 is 13 .
LCM of 878,450 is 197550.
The greatest common factor of 8047/878,3302/450 = [GCF of 8047,3302]/[LCM of 878,450]= 13/197550
Therefore, the GCF of 8047/878,3302/450 is 13/197550.
To find the highest common factor of 8047,3302, we have to find the factors of both numbers and list the highest common factor.
The factors of 8047 are 1, 13, 619, 8047
The factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302
The HCF of 8047,3302 is 13.
Lets's calculate GCF of 8047,3302
| 13 | 8047, 3302 |
| 619, 254 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8047,3302 By Matching Biggest Common Factor Method
Now, list down the factors of 8047
:1,13,619,8047
Now, list down the factors of 3302
:1,2,13,26,127,254,1651,3302
Greatest Common Factor
We found the factors 8047,3302 . The biggest common factor number is the GCF number.
So the greatest common factor 8047,3302 is 13.
Lets's calculate LCM of 878,450
| 2 | 878, 450 |
| 439, 225 |
∴ So the LCM of the given numbers is 2 x 439 x 225 = 197550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/197550
Therefore, the GCF of Fractions 8047/878,3302/450 is 13/197550
Least Common Multiple of 878,450 with GCF Formula
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 878,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,450) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,450) x common factors =2 x 1 = 2
LCM(878,450) = ( 878 × 450 ) / 2
LCM(878,450) = 395100 / 2
LCM(878,450) = 197550
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FAQs on GCF of Fractions of 8047/878, 3302/450
1. What is the HCF of 8047,3302?
The HCF of 8047,3302 is 13
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 8047/878, 3302/450?
Answer: GCF of Numerators as per given numbers 8047/878, 3302/450 is
GCF of Numerators i.e. for 8047,3302 is 13
LCM of denominators i.e. for 878,450 is 197550.
Thus, GCF of Fractions is 13/197550.Finally, GCF of Fractions for 8047/878, 3302/450 is 13/197550.