GCF of 8490/774, 7298/2613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8490/774, 7298/2613 i.e 2/674154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8490/774, 7298/2613.
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 8490/774,7298/2613?
Given fractions are 8490/774,7298/2613
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 8490/774,7298/2613, numerators are 8490,7298
Denominators are 774,2613
The GCF of 8490,7298 is 2 .
LCM of 774,2613 is 674154.
The greatest common factor of 8490/774,7298/2613 = [GCF of 8490,7298]/[LCM of 774,2613]= 2/674154
Therefore, the GCF of 8490/774,7298/2613 is 2/674154.
To find the highest common factor of 8490,7298, we have to find the factors of both numbers and list the highest common factor.
The factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490
The factors of 7298 are 1, 2, 41, 82, 89, 178, 3649, 7298
The HCF of 8490,7298 is 2.
Lets's calculate GCF of 8490,7298
| 2 | 8490, 7298 |
| 4245, 3649 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8490,7298 By Matching Biggest Common Factor Method
Now, list down the factors of 8490
:1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Now, list down the factors of 7298
:1,2,41,82,89,178,3649,7298
Greatest Common Factor
We found the factors 8490,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 8490,7298 is 2.
Lets's calculate LCM of 774,2613
| 3 | 774, 2613 |
| 258, 871 |
∴ So the LCM of the given numbers is 3 x 258 x 871 = 674154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/674154
Therefore, the GCF of Fractions 8490/774,7298/2613 is 2/674154
Least Common Multiple of 774,2613 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 774,2613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,2613) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(774,2613) x common factors =3 x 1 = 3
LCM(774,2613) = ( 774 × 2613 ) / 3
LCM(774,2613) = 2022462 / 3
LCM(774,2613) = 674154
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FAQs on GCF of Fractions of 8490/774, 7298/2613
1. What is the HCF of 8490,7298?
The HCF of 8490,7298 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 8490/774, 7298/2613?
Answer: GCF of Numerators as per given numbers 8490/774, 7298/2613 is
GCF of Numerators i.e. for 8490,7298 is 2
LCM of denominators i.e. for 774,2613 is 674154.
Thus, GCF of Fractions is 2/674154.Finally, GCF of Fractions for 8490/774, 7298/2613 is 2/674154.