GCF of 9938/717, 4658/5780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9938/717, 4658/5780 i.e 2/4144260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9938/717, 4658/5780.
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 9938/717,4658/5780?
Given fractions are 9938/717,4658/5780
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 9938/717,4658/5780, numerators are 9938,4658
Denominators are 717,5780
The GCF of 9938,4658 is 2 .
LCM of 717,5780 is 4144260.
The greatest common factor of 9938/717,4658/5780 = [GCF of 9938,4658]/[LCM of 717,5780]= 2/4144260
Therefore, the GCF of 9938/717,4658/5780 is 2/4144260.
To find the highest common factor of 9938,4658, we have to find the factors of both numbers and list the highest common factor.
The factors of 9938 are 1, 2, 4969, 9938
The factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658
The HCF of 9938,4658 is 2.
Lets's calculate GCF of 9938,4658
| 2 | 9938, 4658 |
| 4969, 2329 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9938,4658 By Matching Biggest Common Factor Method
Now, list down the factors of 9938
:1,2,4969,9938
Now, list down the factors of 4658
:1,2,17,34,137,274,2329,4658
Greatest Common Factor
We found the factors 9938,4658 . The biggest common factor number is the GCF number.
So the greatest common factor 9938,4658 is 2.
Lets's calculate LCM of 717,5780
Given numbers has no common factors except 1. So, there LCM is their product i.e 4144260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4144260
Therefore, the GCF of Fractions 9938/717,4658/5780 is 2/4144260
Least Common Multiple of 717,5780 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 717,5780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,5780) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,5780) x common factors =1 x 1 = 1
LCM(717,5780) = ( 717 × 5780 ) / 1
LCM(717,5780) = 4144260 / 1
LCM(717,5780) = 4144260
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FAQs on GCF of Fractions of 9938/717, 4658/5780
1. What is the HCF of 9938,4658?
The HCF of 9938,4658 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 9938/717, 4658/5780?
Answer: GCF of Numerators as per given numbers 9938/717, 4658/5780 is
GCF of Numerators i.e. for 9938,4658 is 2
LCM of denominators i.e. for 717,5780 is 4144260.
Thus, GCF of Fractions is 2/4144260.Finally, GCF of Fractions for 9938/717, 4658/5780 is 2/4144260.