GCF of 3703/442, 5298/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3703/442, 5298/634 i.e 1/140114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3703/442, 5298/634.
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 3703/442,5298/634?
Given fractions are 3703/442,5298/634
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 3703/442,5298/634, numerators are 3703,5298
Denominators are 442,634
The GCF of 3703,5298 is 1 .
LCM of 442,634 is 140114.
The greatest common factor of 3703/442,5298/634 = [GCF of 3703,5298]/[LCM of 442,634]= 1/140114
Therefore, the GCF of 3703/442,5298/634 is 1/140114.
To find the highest common factor of 3703,5298, we have to find the factors of both numbers and list the highest common factor.
The factors of 3703 are 1, 7, 23, 161, 529, 3703
The factors of 5298 are 1, 2, 3, 6, 883, 1766, 2649, 5298
The HCF of 3703,5298 is 1.
Lets's calculate GCF of 3703,5298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3703,5298 By Matching Biggest Common Factor Method
Now, list down the factors of 3703
:1,7,23,161,529,3703
Now, list down the factors of 5298
:1,2,3,6,883,1766,2649,5298
Greatest Common Factor
We found the factors 3703,5298 . The biggest common factor number is the GCF number.
So the greatest common factor 3703,5298 is 1.
Lets's calculate LCM of 442,634
| 2 | 442, 634 |
| 221, 317 |
∴ So the LCM of the given numbers is 2 x 221 x 317 = 140114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140114
Therefore, the GCF of Fractions 3703/442,5298/634 is 1/140114
Least Common Multiple of 442,634 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 442,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,634) x common factors =2 x 1 = 2
LCM(442,634) = ( 442 × 634 ) / 2
LCM(442,634) = 280228 / 2
LCM(442,634) = 140114
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FAQs on GCF of Fractions of 3703/442, 5298/634
1. What is the HCF of 3703,5298?
The HCF of 3703,5298 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 3703/442, 5298/634?
Answer: GCF of Numerators as per given numbers 3703/442, 5298/634 is
GCF of Numerators i.e. for 3703,5298 is 1
LCM of denominators i.e. for 442,634 is 140114.
Thus, GCF of Fractions is 1/140114.Finally, GCF of Fractions for 3703/442, 5298/634 is 1/140114.