GCF of 9211/124, 9737/6196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9211/124, 9737/6196 i.e 1/192076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9211/124, 9737/6196.
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 9211/124,9737/6196?
Given fractions are 9211/124,9737/6196
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 9211/124,9737/6196, numerators are 9211,9737
Denominators are 124,6196
The GCF of 9211,9737 is 1 .
LCM of 124,6196 is 192076.
The greatest common factor of 9211/124,9737/6196 = [GCF of 9211,9737]/[LCM of 124,6196]= 1/192076
Therefore, the GCF of 9211/124,9737/6196 is 1/192076.
To find the highest common factor of 9211,9737, we have to find the factors of both numbers and list the highest common factor.
The factors of 9211 are 1, 61, 151, 9211
The factors of 9737 are 1, 7, 13, 91, 107, 749, 1391, 9737
The HCF of 9211,9737 is 1.
Lets's calculate GCF of 9211,9737
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9211,9737 By Matching Biggest Common Factor Method
Now, list down the factors of 9211
:1,61,151,9211
Now, list down the factors of 9737
:1,7,13,91,107,749,1391,9737
Greatest Common Factor
We found the factors 9211,9737 . The biggest common factor number is the GCF number.
So the greatest common factor 9211,9737 is 1.
Lets's calculate LCM of 124,6196
| 2 | 124, 6196 |
| 2 | 62, 3098 |
| 31, 1549 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 1549 = 192076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192076
Therefore, the GCF of Fractions 9211/124,9737/6196 is 1/192076
Least Common Multiple of 124,6196 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 124,6196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,6196) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(124,6196) x common factors =4 x 1 = 4
LCM(124,6196) = ( 124 × 6196 ) / 4
LCM(124,6196) = 768304 / 4
LCM(124,6196) = 192076
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FAQs on GCF of Fractions of 9211/124, 9737/6196
1. What is the HCF of 9211,9737?
The HCF of 9211,9737 is 1
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 9211/124, 9737/6196?
Answer: GCF of Numerators as per given numbers 9211/124, 9737/6196 is
GCF of Numerators i.e. for 9211,9737 is 1
LCM of denominators i.e. for 124,6196 is 192076.
Thus, GCF of Fractions is 1/192076.Finally, GCF of Fractions for 9211/124, 9737/6196 is 1/192076.