GCF of 9518/837, 9183/6981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9518/837, 9183/6981 i.e 1/1947699 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9518/837, 9183/6981.
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 9518/837,9183/6981?
Given fractions are 9518/837,9183/6981
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 9518/837,9183/6981, numerators are 9518,9183
Denominators are 837,6981
The GCF of 9518,9183 is 1 .
LCM of 837,6981 is 1947699.
The greatest common factor of 9518/837,9183/6981 = [GCF of 9518,9183]/[LCM of 837,6981]= 1/1947699
Therefore, the GCF of 9518/837,9183/6981 is 1/1947699.
To find the highest common factor of 9518,9183, we have to find the factors of both numbers and list the highest common factor.
The factors of 9518 are 1, 2, 4759, 9518
The factors of 9183 are 1, 3, 3061, 9183
The HCF of 9518,9183 is 1.
Lets's calculate GCF of 9518,9183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9518,9183 By Matching Biggest Common Factor Method
Now, list down the factors of 9518
:1,2,4759,9518
Now, list down the factors of 9183
:1,3,3061,9183
Greatest Common Factor
We found the factors 9518,9183 . The biggest common factor number is the GCF number.
So the greatest common factor 9518,9183 is 1.
Lets's calculate LCM of 837,6981
| 3 | 837, 6981 |
| 279, 2327 |
∴ So the LCM of the given numbers is 3 x 279 x 2327 = 1947699
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1947699
Therefore, the GCF of Fractions 9518/837,9183/6981 is 1/1947699
Least Common Multiple of 837,6981 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 837,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,6981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(837,6981) x common factors =3 x 1 = 3
LCM(837,6981) = ( 837 × 6981 ) / 3
LCM(837,6981) = 5843097 / 3
LCM(837,6981) = 1947699
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FAQs on GCF of Fractions of 9518/837, 9183/6981
1. What is the HCF of 9518,9183?
The HCF of 9518,9183 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 9518/837, 9183/6981?
Answer: GCF of Numerators as per given numbers 9518/837, 9183/6981 is
GCF of Numerators i.e. for 9518,9183 is 1
LCM of denominators i.e. for 837,6981 is 1947699.
Thus, GCF of Fractions is 1/1947699.Finally, GCF of Fractions for 9518/837, 9183/6981 is 1/1947699.