GCF of 9191/531, 6370/2078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9191/531, 6370/2078 i.e 91/1103418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9191/531, 6370/2078.
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 9191/531,6370/2078?
Given fractions are 9191/531,6370/2078
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 9191/531,6370/2078, numerators are 9191,6370
Denominators are 531,2078
The GCF of 9191,6370 is 91 .
LCM of 531,2078 is 1103418.
The greatest common factor of 9191/531,6370/2078 = [GCF of 9191,6370]/[LCM of 531,2078]= 91/1103418
Therefore, the GCF of 9191/531,6370/2078 is 91/1103418.
To find the highest common factor of 9191,6370, we have to find the factors of both numbers and list the highest common factor.
The factors of 9191 are 1, 7, 13, 91, 101, 707, 1313, 9191
The factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370
The HCF of 9191,6370 is 91.
Lets's calculate GCF of 9191,6370
| 7 | 9191, 6370 |
| 13 | 1313, 910 |
| 101, 70 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Greatest Common Factor of 9191,6370 By Matching Biggest Common Factor Method
Now, list down the factors of 9191
:1,7,13,91,101,707,1313,9191
Now, list down the factors of 6370
:1,2,5,7,10,13,14,26,35,49,65,70,91,98,130,182,245,455,490,637,910,1274,3185,6370
Greatest Common Factor
We found the factors 9191,6370 . The biggest common factor number is the GCF number.
So the greatest common factor 9191,6370 is 91.
Lets's calculate LCM of 531,2078
Given numbers has no common factors except 1. So, there LCM is their product i.e 1103418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/1103418
Therefore, the GCF of Fractions 9191/531,6370/2078 is 91/1103418
Least Common Multiple of 531,2078 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 531,2078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,2078) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(531,2078) x common factors =1 x 1 = 1
LCM(531,2078) = ( 531 × 2078 ) / 1
LCM(531,2078) = 1103418 / 1
LCM(531,2078) = 1103418
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FAQs on GCF of Fractions of 9191/531, 6370/2078
1. What is the HCF of 9191,6370?
The HCF of 9191,6370 is 91
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 9191/531, 6370/2078?
Answer: GCF of Numerators as per given numbers 9191/531, 6370/2078 is
GCF of Numerators i.e. for 9191,6370 is 91
LCM of denominators i.e. for 531,2078 is 1103418.
Thus, GCF of Fractions is 91/1103418.Finally, GCF of Fractions for 9191/531, 6370/2078 is 91/1103418.