GCF of 8943/703, 5698/8981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8943/703, 5698/8981 i.e 11/6313643 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8943/703, 5698/8981.
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 8943/703,5698/8981?
Given fractions are 8943/703,5698/8981
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 8943/703,5698/8981, numerators are 8943,5698
Denominators are 703,8981
The GCF of 8943,5698 is 11 .
LCM of 703,8981 is 6313643.
The greatest common factor of 8943/703,5698/8981 = [GCF of 8943,5698]/[LCM of 703,8981]= 11/6313643
Therefore, the GCF of 8943/703,5698/8981 is 11/6313643.
To find the highest common factor of 8943,5698, we have to find the factors of both numbers and list the highest common factor.
The factors of 8943 are 1, 3, 11, 33, 271, 813, 2981, 8943
The factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698
The HCF of 8943,5698 is 11.
Lets's calculate GCF of 8943,5698
| 11 | 8943, 5698 |
| 813, 518 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8943,5698 By Matching Biggest Common Factor Method
Now, list down the factors of 8943
:1,3,11,33,271,813,2981,8943
Now, list down the factors of 5698
:1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698
Greatest Common Factor
We found the factors 8943,5698 . The biggest common factor number is the GCF number.
So the greatest common factor 8943,5698 is 11.
Lets's calculate LCM of 703,8981
Given numbers has no common factors except 1. So, there LCM is their product i.e 6313643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6313643
Therefore, the GCF of Fractions 8943/703,5698/8981 is 11/6313643
Least Common Multiple of 703,8981 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 703,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,8981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,8981) x common factors =1 x 1 = 1
LCM(703,8981) = ( 703 × 8981 ) / 1
LCM(703,8981) = 6313643 / 1
LCM(703,8981) = 6313643
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FAQs on GCF of Fractions of 8943/703, 5698/8981
1. What is the HCF of 8943,5698?
The HCF of 8943,5698 is 11
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 8943/703, 5698/8981?
Answer: GCF of Numerators as per given numbers 8943/703, 5698/8981 is
GCF of Numerators i.e. for 8943,5698 is 11
LCM of denominators i.e. for 703,8981 is 6313643.
Thus, GCF of Fractions is 11/6313643.Finally, GCF of Fractions for 8943/703, 5698/8981 is 11/6313643.