GCF of 3073/819, 7137/9987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3073/819, 7137/9987 i.e 1/2726451 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3073/819, 7137/9987.
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 3073/819,7137/9987?
Given fractions are 3073/819,7137/9987
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 3073/819,7137/9987, numerators are 3073,7137
Denominators are 819,9987
The GCF of 3073,7137 is 1 .
LCM of 819,9987 is 2726451.
The greatest common factor of 3073/819,7137/9987 = [GCF of 3073,7137]/[LCM of 819,9987]= 1/2726451
Therefore, the GCF of 3073/819,7137/9987 is 1/2726451.
To find the highest common factor of 3073,7137, we have to find the factors of both numbers and list the highest common factor.
The factors of 3073 are 1, 7, 439, 3073
The factors of 7137 are 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137
The HCF of 3073,7137 is 1.
Lets's calculate GCF of 3073,7137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3073,7137 By Matching Biggest Common Factor Method
Now, list down the factors of 3073
:1,7,439,3073
Now, list down the factors of 7137
:1,3,9,13,39,61,117,183,549,793,2379,7137
Greatest Common Factor
We found the factors 3073,7137 . The biggest common factor number is the GCF number.
So the greatest common factor 3073,7137 is 1.
Lets's calculate LCM of 819,9987
| 3 | 819, 9987 |
| 273, 3329 |
∴ So the LCM of the given numbers is 3 x 273 x 3329 = 2726451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2726451
Therefore, the GCF of Fractions 3073/819,7137/9987 is 1/2726451
Least Common Multiple of 819,9987 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 819,9987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,9987) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(819,9987) x common factors =3 x 1 = 3
LCM(819,9987) = ( 819 × 9987 ) / 3
LCM(819,9987) = 8179353 / 3
LCM(819,9987) = 2726451
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FAQs on GCF of Fractions of 3073/819, 7137/9987
1. What is the HCF of 3073,7137?
The HCF of 3073,7137 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 3073/819, 7137/9987?
Answer: GCF of Numerators as per given numbers 3073/819, 7137/9987 is
GCF of Numerators i.e. for 3073,7137 is 1
LCM of denominators i.e. for 819,9987 is 2726451.
Thus, GCF of Fractions is 1/2726451.Finally, GCF of Fractions for 3073/819, 7137/9987 is 1/2726451.