GCF of 9498/986, 7660/5424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9498/986, 7660/5424 i.e 2/2674032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9498/986, 7660/5424.
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 9498/986,7660/5424?
Given fractions are 9498/986,7660/5424
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 9498/986,7660/5424, numerators are 9498,7660
Denominators are 986,5424
The GCF of 9498,7660 is 2 .
LCM of 986,5424 is 2674032.
The greatest common factor of 9498/986,7660/5424 = [GCF of 9498,7660]/[LCM of 986,5424]= 2/2674032
Therefore, the GCF of 9498/986,7660/5424 is 2/2674032.
To find the highest common factor of 9498,7660, we have to find the factors of both numbers and list the highest common factor.
The factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498
The factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660
The HCF of 9498,7660 is 2.
Lets's calculate GCF of 9498,7660
| 2 | 9498, 7660 |
| 4749, 3830 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9498,7660 By Matching Biggest Common Factor Method
Now, list down the factors of 9498
:1,2,3,6,1583,3166,4749,9498
Now, list down the factors of 7660
:1,2,4,5,10,20,383,766,1532,1915,3830,7660
Greatest Common Factor
We found the factors 9498,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 9498,7660 is 2.
Lets's calculate LCM of 986,5424
| 2 | 986, 5424 |
| 493, 2712 |
∴ So the LCM of the given numbers is 2 x 493 x 2712 = 2674032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2674032
Therefore, the GCF of Fractions 9498/986,7660/5424 is 2/2674032
Least Common Multiple of 986,5424 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 986,5424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,5424) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,5424) x common factors =2 x 1 = 2
LCM(986,5424) = ( 986 × 5424 ) / 2
LCM(986,5424) = 5348064 / 2
LCM(986,5424) = 2674032
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FAQs on GCF of Fractions of 9498/986, 7660/5424
1. What is the HCF of 9498,7660?
The HCF of 9498,7660 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 9498/986, 7660/5424?
Answer: GCF of Numerators as per given numbers 9498/986, 7660/5424 is
GCF of Numerators i.e. for 9498,7660 is 2
LCM of denominators i.e. for 986,5424 is 2674032.
Thus, GCF of Fractions is 2/2674032.Finally, GCF of Fractions for 9498/986, 7660/5424 is 2/2674032.