GCF of 8090/813, 7484/5862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8090/813, 7484/5862 i.e 2/1588602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8090/813, 7484/5862.
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 8090/813,7484/5862?
Given fractions are 8090/813,7484/5862
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 8090/813,7484/5862, numerators are 8090,7484
Denominators are 813,5862
The GCF of 8090,7484 is 2 .
LCM of 813,5862 is 1588602.
The greatest common factor of 8090/813,7484/5862 = [GCF of 8090,7484]/[LCM of 813,5862]= 2/1588602
Therefore, the GCF of 8090/813,7484/5862 is 2/1588602.
To find the highest common factor of 8090,7484, we have to find the factors of both numbers and list the highest common factor.
The factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090
The factors of 7484 are 1, 2, 4, 1871, 3742, 7484
The HCF of 8090,7484 is 2.
Lets's calculate GCF of 8090,7484
| 2 | 8090, 7484 |
| 4045, 3742 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8090,7484 By Matching Biggest Common Factor Method
Now, list down the factors of 8090
:1,2,5,10,809,1618,4045,8090
Now, list down the factors of 7484
:1,2,4,1871,3742,7484
Greatest Common Factor
We found the factors 8090,7484 . The biggest common factor number is the GCF number.
So the greatest common factor 8090,7484 is 2.
Lets's calculate LCM of 813,5862
| 3 | 813, 5862 |
| 271, 1954 |
∴ So the LCM of the given numbers is 3 x 271 x 1954 = 1588602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1588602
Therefore, the GCF of Fractions 8090/813,7484/5862 is 2/1588602
Least Common Multiple of 813,5862 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 813,5862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,5862) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,5862) x common factors =3 x 1 = 3
LCM(813,5862) = ( 813 × 5862 ) / 3
LCM(813,5862) = 4765806 / 3
LCM(813,5862) = 1588602
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FAQs on GCF of Fractions of 8090/813, 7484/5862
1. What is the HCF of 8090,7484?
The HCF of 8090,7484 is 2
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 8090/813, 7484/5862?
Answer: GCF of Numerators as per given numbers 8090/813, 7484/5862 is
GCF of Numerators i.e. for 8090,7484 is 2
LCM of denominators i.e. for 813,5862 is 1588602.
Thus, GCF of Fractions is 2/1588602.Finally, GCF of Fractions for 8090/813, 7484/5862 is 2/1588602.