GCF of 5198/50, 2600/113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5198/50, 2600/113 i.e 2/5650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5198/50, 2600/113.
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 5198/50,2600/113?
Given fractions are 5198/50,2600/113
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 5198/50,2600/113, numerators are 5198,2600
Denominators are 50,113
The GCF of 5198,2600 is 2 .
LCM of 50,113 is 5650.
The greatest common factor of 5198/50,2600/113 = [GCF of 5198,2600]/[LCM of 50,113]= 2/5650
Therefore, the GCF of 5198/50,2600/113 is 2/5650.
To find the highest common factor of 5198,2600, we have to find the factors of both numbers and list the highest common factor.
The factors of 5198 are 1, 2, 23, 46, 113, 226, 2599, 5198
The factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600
The HCF of 5198,2600 is 2.
Lets's calculate GCF of 5198,2600
| 2 | 5198, 2600 |
| 2599, 1300 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5198,2600 By Matching Biggest Common Factor Method
Now, list down the factors of 5198
:1,2,23,46,113,226,2599,5198
Now, list down the factors of 2600
:1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600
Greatest Common Factor
We found the factors 5198,2600 . The biggest common factor number is the GCF number.
So the greatest common factor 5198,2600 is 2.
Lets's calculate LCM of 50,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 5650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5650
Therefore, the GCF of Fractions 5198/50,2600/113 is 2/5650
Least Common Multiple of 50,113 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 50,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,113) x common factors =1 x 1 = 1
LCM(50,113) = ( 50 × 113 ) / 1
LCM(50,113) = 5650 / 1
LCM(50,113) = 5650
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FAQs on GCF of Fractions of 5198/50, 2600/113
1. What is the HCF of 5198,2600?
The HCF of 5198,2600 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 5198/50, 2600/113?
Answer: GCF of Numerators as per given numbers 5198/50, 2600/113 is
GCF of Numerators i.e. for 5198,2600 is 2
LCM of denominators i.e. for 50,113 is 5650.
Thus, GCF of Fractions is 2/5650.Finally, GCF of Fractions for 5198/50, 2600/113 is 2/5650.