GCF of 3685/594, 7818/5238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3685/594, 7818/5238 i.e 1/57618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3685/594, 7818/5238.
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 3685/594,7818/5238?
Given fractions are 3685/594,7818/5238
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 3685/594,7818/5238, numerators are 3685,7818
Denominators are 594,5238
The GCF of 3685,7818 is 1 .
LCM of 594,5238 is 57618.
The greatest common factor of 3685/594,7818/5238 = [GCF of 3685,7818]/[LCM of 594,5238]= 1/57618
Therefore, the GCF of 3685/594,7818/5238 is 1/57618.
To find the highest common factor of 3685,7818, we have to find the factors of both numbers and list the highest common factor.
The factors of 3685 are 1, 5, 11, 55, 67, 335, 737, 3685
The factors of 7818 are 1, 2, 3, 6, 1303, 2606, 3909, 7818
The HCF of 3685,7818 is 1.
Lets's calculate GCF of 3685,7818
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3685,7818 By Matching Biggest Common Factor Method
Now, list down the factors of 3685
:1,5,11,55,67,335,737,3685
Now, list down the factors of 7818
:1,2,3,6,1303,2606,3909,7818
Greatest Common Factor
We found the factors 3685,7818 . The biggest common factor number is the GCF number.
So the greatest common factor 3685,7818 is 1.
Lets's calculate LCM of 594,5238
| 2 | 594, 5238 |
| 3 | 297, 2619 |
| 3 | 99, 873 |
| 3 | 33, 291 |
| 11, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 11 x 97 = 57618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57618
Therefore, the GCF of Fractions 3685/594,7818/5238 is 1/57618
Least Common Multiple of 594,5238 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 594,5238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,5238) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(594,5238) x common factors =54 x 1 = 54
LCM(594,5238) = ( 594 × 5238 ) / 54
LCM(594,5238) = 3111372 / 54
LCM(594,5238) = 57618
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FAQs on GCF of Fractions of 3685/594, 7818/5238
1. What is the HCF of 3685,7818?
The HCF of 3685,7818 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 3685/594, 7818/5238?
Answer: GCF of Numerators as per given numbers 3685/594, 7818/5238 is
GCF of Numerators i.e. for 3685,7818 is 1
LCM of denominators i.e. for 594,5238 is 57618.
Thus, GCF of Fractions is 1/57618.Finally, GCF of Fractions for 3685/594, 7818/5238 is 1/57618.