GCF of 7919/114, 9185/7320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7919/114, 9185/7320 i.e 1/139080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7919/114, 9185/7320.
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 7919/114,9185/7320?
Given fractions are 7919/114,9185/7320
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 7919/114,9185/7320, numerators are 7919,9185
Denominators are 114,7320
The GCF of 7919,9185 is 1 .
LCM of 114,7320 is 139080.
The greatest common factor of 7919/114,9185/7320 = [GCF of 7919,9185]/[LCM of 114,7320]= 1/139080
Therefore, the GCF of 7919/114,9185/7320 is 1/139080.
To find the highest common factor of 7919,9185, we have to find the factors of both numbers and list the highest common factor.
The factors of 7919 are 1, 7919
The factors of 9185 are 1, 5, 11, 55, 167, 835, 1837, 9185
The HCF of 7919,9185 is 1.
Lets's calculate GCF of 7919,9185
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7919,9185 By Matching Biggest Common Factor Method
Now, list down the factors of 7919
:1,7919
Now, list down the factors of 9185
:1,5,11,55,167,835,1837,9185
Greatest Common Factor
We found the factors 7919,9185 . The biggest common factor number is the GCF number.
So the greatest common factor 7919,9185 is 1.
Lets's calculate LCM of 114,7320
| 2 | 114, 7320 |
| 3 | 57, 3660 |
| 19, 1220 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 1220 = 139080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139080
Therefore, the GCF of Fractions 7919/114,9185/7320 is 1/139080
Least Common Multiple of 114,7320 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 114,7320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,7320) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(114,7320) x common factors =6 x 1 = 6
LCM(114,7320) = ( 114 × 7320 ) / 6
LCM(114,7320) = 834480 / 6
LCM(114,7320) = 139080
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FAQs on GCF of Fractions of 7919/114, 9185/7320
1. What is the HCF of 7919,9185?
The HCF of 7919,9185 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 7919/114, 9185/7320?
Answer: GCF of Numerators as per given numbers 7919/114, 9185/7320 is
GCF of Numerators i.e. for 7919,9185 is 1
LCM of denominators i.e. for 114,7320 is 139080.
Thus, GCF of Fractions is 1/139080.Finally, GCF of Fractions for 7919/114, 9185/7320 is 1/139080.