GCF of 6292/363, 3364/4065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6292/363, 3364/4065 i.e 4/491865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6292/363, 3364/4065.
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 6292/363,3364/4065?
Given fractions are 6292/363,3364/4065
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 6292/363,3364/4065, numerators are 6292,3364
Denominators are 363,4065
The GCF of 6292,3364 is 4 .
LCM of 363,4065 is 491865.
The greatest common factor of 6292/363,3364/4065 = [GCF of 6292,3364]/[LCM of 363,4065]= 4/491865
Therefore, the GCF of 6292/363,3364/4065 is 4/491865.
To find the highest common factor of 6292,3364, we have to find the factors of both numbers and list the highest common factor.
The factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292
The factors of 3364 are 1, 2, 4, 29, 58, 116, 841, 1682, 3364
The HCF of 6292,3364 is 4.
Lets's calculate GCF of 6292,3364
| 2 | 6292, 3364 |
| 2 | 3146, 1682 |
| 1573, 841 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6292,3364 By Matching Biggest Common Factor Method
Now, list down the factors of 6292
:1,2,4,11,13,22,26,44,52,121,143,242,286,484,572,1573,3146,6292
Now, list down the factors of 3364
:1,2,4,29,58,116,841,1682,3364
Greatest Common Factor
We found the factors 6292,3364 . The biggest common factor number is the GCF number.
So the greatest common factor 6292,3364 is 4.
Lets's calculate LCM of 363,4065
| 3 | 363, 4065 |
| 121, 1355 |
∴ So the LCM of the given numbers is 3 x 121 x 1355 = 491865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/491865
Therefore, the GCF of Fractions 6292/363,3364/4065 is 4/491865
Least Common Multiple of 363,4065 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 363,4065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,4065) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,4065) x common factors =3 x 1 = 3
LCM(363,4065) = ( 363 × 4065 ) / 3
LCM(363,4065) = 1475595 / 3
LCM(363,4065) = 491865
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FAQs on GCF of Fractions of 6292/363, 3364/4065
1. What is the HCF of 6292,3364?
The HCF of 6292,3364 is 4
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 6292/363, 3364/4065?
Answer: GCF of Numerators as per given numbers 6292/363, 3364/4065 is
GCF of Numerators i.e. for 6292,3364 is 4
LCM of denominators i.e. for 363,4065 is 491865.
Thus, GCF of Fractions is 4/491865.Finally, GCF of Fractions for 6292/363, 3364/4065 is 4/491865.