GCF of 3841/594, 8290/4293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3841/594, 8290/4293 i.e 1/94446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3841/594, 8290/4293.
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 3841/594,8290/4293?
Given fractions are 3841/594,8290/4293
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 3841/594,8290/4293, numerators are 3841,8290
Denominators are 594,4293
The GCF of 3841,8290 is 1 .
LCM of 594,4293 is 94446.
The greatest common factor of 3841/594,8290/4293 = [GCF of 3841,8290]/[LCM of 594,4293]= 1/94446
Therefore, the GCF of 3841/594,8290/4293 is 1/94446.
To find the highest common factor of 3841,8290, we have to find the factors of both numbers and list the highest common factor.
The factors of 3841 are 1, 23, 167, 3841
The factors of 8290 are 1, 2, 5, 10, 829, 1658, 4145, 8290
The HCF of 3841,8290 is 1.
Lets's calculate GCF of 3841,8290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3841,8290 By Matching Biggest Common Factor Method
Now, list down the factors of 3841
:1,23,167,3841
Now, list down the factors of 8290
:1,2,5,10,829,1658,4145,8290
Greatest Common Factor
We found the factors 3841,8290 . The biggest common factor number is the GCF number.
So the greatest common factor 3841,8290 is 1.
Lets's calculate LCM of 594,4293
| 3 | 594, 4293 |
| 3 | 198, 1431 |
| 3 | 66, 477 |
| 22, 159 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 22 x 159 = 94446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94446
Therefore, the GCF of Fractions 3841/594,8290/4293 is 1/94446
Least Common Multiple of 594,4293 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 594,4293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,4293) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(594,4293) x common factors =27 x 1 = 27
LCM(594,4293) = ( 594 × 4293 ) / 27
LCM(594,4293) = 2550042 / 27
LCM(594,4293) = 94446
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FAQs on GCF of Fractions of 3841/594, 8290/4293
1. What is the HCF of 3841,8290?
The HCF of 3841,8290 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 3841/594, 8290/4293?
Answer: GCF of Numerators as per given numbers 3841/594, 8290/4293 is
GCF of Numerators i.e. for 3841,8290 is 1
LCM of denominators i.e. for 594,4293 is 94446.
Thus, GCF of Fractions is 1/94446.Finally, GCF of Fractions for 3841/594, 8290/4293 is 1/94446.