GCF of 1809/868, 7302/6743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1809/868, 7302/6743 i.e 3/5852924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1809/868, 7302/6743.
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 1809/868,7302/6743?
Given fractions are 1809/868,7302/6743
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 1809/868,7302/6743, numerators are 1809,7302
Denominators are 868,6743
The GCF of 1809,7302 is 3 .
LCM of 868,6743 is 5852924.
The greatest common factor of 1809/868,7302/6743 = [GCF of 1809,7302]/[LCM of 868,6743]= 3/5852924
Therefore, the GCF of 1809/868,7302/6743 is 3/5852924.
To find the highest common factor of 1809,7302, we have to find the factors of both numbers and list the highest common factor.
The factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809
The factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302
The HCF of 1809,7302 is 3.
Lets's calculate GCF of 1809,7302
| 3 | 1809, 7302 |
| 603, 2434 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1809,7302 By Matching Biggest Common Factor Method
Now, list down the factors of 1809
:1,3,9,27,67,201,603,1809
Now, list down the factors of 7302
:1,2,3,6,1217,2434,3651,7302
Greatest Common Factor
We found the factors 1809,7302 . The biggest common factor number is the GCF number.
So the greatest common factor 1809,7302 is 3.
Lets's calculate LCM of 868,6743
Given numbers has no common factors except 1. So, there LCM is their product i.e 5852924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5852924
Therefore, the GCF of Fractions 1809/868,7302/6743 is 3/5852924
Least Common Multiple of 868,6743 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 868,6743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,6743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(868,6743) x common factors =1 x 1 = 1
LCM(868,6743) = ( 868 × 6743 ) / 1
LCM(868,6743) = 5852924 / 1
LCM(868,6743) = 5852924
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FAQs on GCF of Fractions of 1809/868, 7302/6743
1. What is the HCF of 1809,7302?
The HCF of 1809,7302 is 3
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 1809/868, 7302/6743?
Answer: GCF of Numerators as per given numbers 1809/868, 7302/6743 is
GCF of Numerators i.e. for 1809,7302 is 3
LCM of denominators i.e. for 868,6743 is 5852924.
Thus, GCF of Fractions is 3/5852924.Finally, GCF of Fractions for 1809/868, 7302/6743 is 3/5852924.