GCF of 9175/244, 6739/9692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9175/244, 6739/9692 i.e 1/591212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9175/244, 6739/9692.
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 9175/244,6739/9692?
Given fractions are 9175/244,6739/9692
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 9175/244,6739/9692, numerators are 9175,6739
Denominators are 244,9692
The GCF of 9175,6739 is 1 .
LCM of 244,9692 is 591212.
The greatest common factor of 9175/244,6739/9692 = [GCF of 9175,6739]/[LCM of 244,9692]= 1/591212
Therefore, the GCF of 9175/244,6739/9692 is 1/591212.
To find the highest common factor of 9175,6739, we have to find the factors of both numbers and list the highest common factor.
The factors of 9175 are 1, 5, 25, 367, 1835, 9175
The factors of 6739 are 1, 23, 293, 6739
The HCF of 9175,6739 is 1.
Lets's calculate GCF of 9175,6739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9175,6739 By Matching Biggest Common Factor Method
Now, list down the factors of 9175
:1,5,25,367,1835,9175
Now, list down the factors of 6739
:1,23,293,6739
Greatest Common Factor
We found the factors 9175,6739 . The biggest common factor number is the GCF number.
So the greatest common factor 9175,6739 is 1.
Lets's calculate LCM of 244,9692
| 2 | 244, 9692 |
| 2 | 122, 4846 |
| 61, 2423 |
∴ So the LCM of the given numbers is 2 x 2 x 61 x 2423 = 591212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/591212
Therefore, the GCF of Fractions 9175/244,6739/9692 is 1/591212
Least Common Multiple of 244,9692 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 244,9692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,9692) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(244,9692) x common factors =4 x 1 = 4
LCM(244,9692) = ( 244 × 9692 ) / 4
LCM(244,9692) = 2364848 / 4
LCM(244,9692) = 591212
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FAQs on GCF of Fractions of 9175/244, 6739/9692
1. What is the HCF of 9175,6739?
The HCF of 9175,6739 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 9175/244, 6739/9692?
Answer: GCF of Numerators as per given numbers 9175/244, 6739/9692 is
GCF of Numerators i.e. for 9175,6739 is 1
LCM of denominators i.e. for 244,9692 is 591212.
Thus, GCF of Fractions is 1/591212.Finally, GCF of Fractions for 9175/244, 6739/9692 is 1/591212.