GCF of 9541/936, 9146/7856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9541/936, 9146/7856 i.e 1/919152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9541/936, 9146/7856.
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 9541/936,9146/7856?
Given fractions are 9541/936,9146/7856
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 9541/936,9146/7856, numerators are 9541,9146
Denominators are 936,7856
The GCF of 9541,9146 is 1 .
LCM of 936,7856 is 919152.
The greatest common factor of 9541/936,9146/7856 = [GCF of 9541,9146]/[LCM of 936,7856]= 1/919152
Therefore, the GCF of 9541/936,9146/7856 is 1/919152.
To find the highest common factor of 9541,9146, we have to find the factors of both numbers and list the highest common factor.
The factors of 9541 are 1, 7, 29, 47, 203, 329, 1363, 9541
The factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146
The HCF of 9541,9146 is 1.
Lets's calculate GCF of 9541,9146
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9541,9146 By Matching Biggest Common Factor Method
Now, list down the factors of 9541
:1,7,29,47,203,329,1363,9541
Now, list down the factors of 9146
:1,2,17,34,269,538,4573,9146
Greatest Common Factor
We found the factors 9541,9146 . The biggest common factor number is the GCF number.
So the greatest common factor 9541,9146 is 1.
Lets's calculate LCM of 936,7856
| 2 | 936, 7856 |
| 2 | 468, 3928 |
| 2 | 234, 1964 |
| 117, 982 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 117 x 982 = 919152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/919152
Therefore, the GCF of Fractions 9541/936,9146/7856 is 1/919152
Least Common Multiple of 936,7856 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 936,7856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,7856) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(936,7856) x common factors =8 x 1 = 8
LCM(936,7856) = ( 936 × 7856 ) / 8
LCM(936,7856) = 7353216 / 8
LCM(936,7856) = 919152
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FAQs on GCF of Fractions of 9541/936, 9146/7856
1. What is the HCF of 9541,9146?
The HCF of 9541,9146 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 9541/936, 9146/7856?
Answer: GCF of Numerators as per given numbers 9541/936, 9146/7856 is
GCF of Numerators i.e. for 9541,9146 is 1
LCM of denominators i.e. for 936,7856 is 919152.
Thus, GCF of Fractions is 1/919152.Finally, GCF of Fractions for 9541/936, 9146/7856 is 1/919152.