GCF of 3694/285, 5594/9904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3694/285, 5594/9904 i.e 2/2822640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3694/285, 5594/9904.
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 3694/285,5594/9904?
Given fractions are 3694/285,5594/9904
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 3694/285,5594/9904, numerators are 3694,5594
Denominators are 285,9904
The GCF of 3694,5594 is 2 .
LCM of 285,9904 is 2822640.
The greatest common factor of 3694/285,5594/9904 = [GCF of 3694,5594]/[LCM of 285,9904]= 2/2822640
Therefore, the GCF of 3694/285,5594/9904 is 2/2822640.
To find the highest common factor of 3694,5594, we have to find the factors of both numbers and list the highest common factor.
The factors of 3694 are 1, 2, 1847, 3694
The factors of 5594 are 1, 2, 2797, 5594
The HCF of 3694,5594 is 2.
Lets's calculate GCF of 3694,5594
| 2 | 3694, 5594 |
| 1847, 2797 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3694,5594 By Matching Biggest Common Factor Method
Now, list down the factors of 3694
:1,2,1847,3694
Now, list down the factors of 5594
:1,2,2797,5594
Greatest Common Factor
We found the factors 3694,5594 . The biggest common factor number is the GCF number.
So the greatest common factor 3694,5594 is 2.
Lets's calculate LCM of 285,9904
Given numbers has no common factors except 1. So, there LCM is their product i.e 2822640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2822640
Therefore, the GCF of Fractions 3694/285,5594/9904 is 2/2822640
Least Common Multiple of 285,9904 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 285,9904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,9904) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,9904) x common factors =1 x 1 = 1
LCM(285,9904) = ( 285 × 9904 ) / 1
LCM(285,9904) = 2822640 / 1
LCM(285,9904) = 2822640
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FAQs on GCF of Fractions of 3694/285, 5594/9904
1. What is the HCF of 3694,5594?
The HCF of 3694,5594 is 2
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 3694/285, 5594/9904?
Answer: GCF of Numerators as per given numbers 3694/285, 5594/9904 is
GCF of Numerators i.e. for 3694,5594 is 2
LCM of denominators i.e. for 285,9904 is 2822640.
Thus, GCF of Fractions is 2/2822640.Finally, GCF of Fractions for 3694/285, 5594/9904 is 2/2822640.