GCF of 5918/118, 5093/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5918/118, 5093/209 i.e 11/24662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5918/118, 5093/209.
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 5918/118,5093/209?
Given fractions are 5918/118,5093/209
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 5918/118,5093/209, numerators are 5918,5093
Denominators are 118,209
The GCF of 5918,5093 is 11 .
LCM of 118,209 is 24662.
The greatest common factor of 5918/118,5093/209 = [GCF of 5918,5093]/[LCM of 118,209]= 11/24662
Therefore, the GCF of 5918/118,5093/209 is 11/24662.
To find the highest common factor of 5918,5093, we have to find the factors of both numbers and list the highest common factor.
The factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918
The factors of 5093 are 1, 11, 463, 5093
The HCF of 5918,5093 is 11.
Lets's calculate GCF of 5918,5093
| 11 | 5918, 5093 |
| 538, 463 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5918,5093 By Matching Biggest Common Factor Method
Now, list down the factors of 5918
:1,2,11,22,269,538,2959,5918
Now, list down the factors of 5093
:1,11,463,5093
Greatest Common Factor
We found the factors 5918,5093 . The biggest common factor number is the GCF number.
So the greatest common factor 5918,5093 is 11.
Lets's calculate LCM of 118,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 24662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/24662
Therefore, the GCF of Fractions 5918/118,5093/209 is 11/24662
Least Common Multiple of 118,209 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 118,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,209) x common factors =1 x 1 = 1
LCM(118,209) = ( 118 × 209 ) / 1
LCM(118,209) = 24662 / 1
LCM(118,209) = 24662
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FAQs on GCF of Fractions of 5918/118, 5093/209
1. What is the HCF of 5918,5093?
The HCF of 5918,5093 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 5918/118, 5093/209?
Answer: GCF of Numerators as per given numbers 5918/118, 5093/209 is
GCF of Numerators i.e. for 5918,5093 is 11
LCM of denominators i.e. for 118,209 is 24662.
Thus, GCF of Fractions is 11/24662.Finally, GCF of Fractions for 5918/118, 5093/209 is 11/24662.