GCF of 9107/918, 7394/9854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9107/918, 7394/9854 i.e 1/4522986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9107/918, 7394/9854.
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 9107/918,7394/9854?
Given fractions are 9107/918,7394/9854
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 9107/918,7394/9854, numerators are 9107,7394
Denominators are 918,9854
The GCF of 9107,7394 is 1 .
LCM of 918,9854 is 4522986.
The greatest common factor of 9107/918,7394/9854 = [GCF of 9107,7394]/[LCM of 918,9854]= 1/4522986
Therefore, the GCF of 9107/918,7394/9854 is 1/4522986.
To find the highest common factor of 9107,7394, we have to find the factors of both numbers and list the highest common factor.
The factors of 9107 are 1, 7, 1301, 9107
The factors of 7394 are 1, 2, 3697, 7394
The HCF of 9107,7394 is 1.
Lets's calculate GCF of 9107,7394
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9107,7394 By Matching Biggest Common Factor Method
Now, list down the factors of 9107
:1,7,1301,9107
Now, list down the factors of 7394
:1,2,3697,7394
Greatest Common Factor
We found the factors 9107,7394 . The biggest common factor number is the GCF number.
So the greatest common factor 9107,7394 is 1.
Lets's calculate LCM of 918,9854
| 2 | 918, 9854 |
| 459, 4927 |
∴ So the LCM of the given numbers is 2 x 459 x 4927 = 4522986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4522986
Therefore, the GCF of Fractions 9107/918,7394/9854 is 1/4522986
Least Common Multiple of 918,9854 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 918,9854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,9854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(918,9854) x common factors =2 x 1 = 2
LCM(918,9854) = ( 918 × 9854 ) / 2
LCM(918,9854) = 9045972 / 2
LCM(918,9854) = 4522986
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FAQs on GCF of Fractions of 9107/918, 7394/9854
1. What is the HCF of 9107,7394?
The HCF of 9107,7394 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 9107/918, 7394/9854?
Answer: GCF of Numerators as per given numbers 9107/918, 7394/9854 is
GCF of Numerators i.e. for 9107,7394 is 1
LCM of denominators i.e. for 918,9854 is 4522986.
Thus, GCF of Fractions is 1/4522986.Finally, GCF of Fractions for 9107/918, 7394/9854 is 1/4522986.