GCF of 5198/273, 7475/969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5198/273, 7475/969 i.e 23/88179 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5198/273, 7475/969.
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 5198/273,7475/969?
Given fractions are 5198/273,7475/969
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 5198/273,7475/969, numerators are 5198,7475
Denominators are 273,969
The GCF of 5198,7475 is 23 .
LCM of 273,969 is 88179.
The greatest common factor of 5198/273,7475/969 = [GCF of 5198,7475]/[LCM of 273,969]= 23/88179
Therefore, the GCF of 5198/273,7475/969 is 23/88179.
To find the highest common factor of 5198,7475, 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 7475 are 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475
The HCF of 5198,7475 is 23.
Lets's calculate GCF of 5198,7475
| 23 | 5198, 7475 |
| 226, 325 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 5198,7475 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 7475
:1,5,13,23,25,65,115,299,325,575,1495,7475
Greatest Common Factor
We found the factors 5198,7475 . The biggest common factor number is the GCF number.
So the greatest common factor 5198,7475 is 23.
Lets's calculate LCM of 273,969
| 3 | 273, 969 |
| 91, 323 |
∴ So the LCM of the given numbers is 3 x 91 x 323 = 88179
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/88179
Therefore, the GCF of Fractions 5198/273,7475/969 is 23/88179
Least Common Multiple of 273,969 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 273,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,969) x common factors =3 x 1 = 3
LCM(273,969) = ( 273 × 969 ) / 3
LCM(273,969) = 264537 / 3
LCM(273,969) = 88179
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FAQs on GCF of Fractions of 5198/273, 7475/969
1. What is the HCF of 5198,7475?
The HCF of 5198,7475 is 23
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 5198/273, 7475/969?
Answer: GCF of Numerators as per given numbers 5198/273, 7475/969 is
GCF of Numerators i.e. for 5198,7475 is 23
LCM of denominators i.e. for 273,969 is 88179.
Thus, GCF of Fractions is 23/88179.Finally, GCF of Fractions for 5198/273, 7475/969 is 23/88179.