GCF of 9013/133, 4292/1748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9013/133, 4292/1748 i.e 1/12236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9013/133, 4292/1748.
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 9013/133,4292/1748?
Given fractions are 9013/133,4292/1748
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 9013/133,4292/1748, numerators are 9013,4292
Denominators are 133,1748
The GCF of 9013,4292 is 1 .
LCM of 133,1748 is 12236.
The greatest common factor of 9013/133,4292/1748 = [GCF of 9013,4292]/[LCM of 133,1748]= 1/12236
Therefore, the GCF of 9013/133,4292/1748 is 1/12236.
To find the highest common factor of 9013,4292, we have to find the factors of both numbers and list the highest common factor.
The factors of 9013 are 1, 9013
The factors of 4292 are 1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292
The HCF of 9013,4292 is 1.
Lets's calculate GCF of 9013,4292
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9013,4292 By Matching Biggest Common Factor Method
Now, list down the factors of 9013
:1,9013
Now, list down the factors of 4292
:1,2,4,29,37,58,74,116,148,1073,2146,4292
Greatest Common Factor
We found the factors 9013,4292 . The biggest common factor number is the GCF number.
So the greatest common factor 9013,4292 is 1.
Lets's calculate LCM of 133,1748
| 19 | 133, 1748 |
| 7, 92 |
∴ So the LCM of the given numbers is 19 x 7 x 92 = 12236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12236
Therefore, the GCF of Fractions 9013/133,4292/1748 is 1/12236
Least Common Multiple of 133,1748 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 133,1748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,1748) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(133,1748) x common factors =19 x 1 = 19
LCM(133,1748) = ( 133 × 1748 ) / 19
LCM(133,1748) = 232484 / 19
LCM(133,1748) = 12236
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FAQs on GCF of Fractions of 9013/133, 4292/1748
1. What is the HCF of 9013,4292?
The HCF of 9013,4292 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 9013/133, 4292/1748?
Answer: GCF of Numerators as per given numbers 9013/133, 4292/1748 is
GCF of Numerators i.e. for 9013,4292 is 1
LCM of denominators i.e. for 133,1748 is 12236.
Thus, GCF of Fractions is 1/12236.Finally, GCF of Fractions for 9013/133, 4292/1748 is 1/12236.