GCF of 1365/318, 4558/6477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1365/318, 4558/6477 i.e 1/686562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1365/318, 4558/6477.
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 1365/318,4558/6477?
Given fractions are 1365/318,4558/6477
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 1365/318,4558/6477, numerators are 1365,4558
Denominators are 318,6477
The GCF of 1365,4558 is 1 .
LCM of 318,6477 is 686562.
The greatest common factor of 1365/318,4558/6477 = [GCF of 1365,4558]/[LCM of 318,6477]= 1/686562
Therefore, the GCF of 1365/318,4558/6477 is 1/686562.
To find the highest common factor of 1365,4558, we have to find the factors of both numbers and list the highest common factor.
The factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365
The factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558
The HCF of 1365,4558 is 1.
Lets's calculate GCF of 1365,4558
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1365,4558 By Matching Biggest Common Factor Method
Now, list down the factors of 1365
:1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365
Now, list down the factors of 4558
:1,2,43,53,86,106,2279,4558
Greatest Common Factor
We found the factors 1365,4558 . The biggest common factor number is the GCF number.
So the greatest common factor 1365,4558 is 1.
Lets's calculate LCM of 318,6477
| 3 | 318, 6477 |
| 106, 2159 |
∴ So the LCM of the given numbers is 3 x 106 x 2159 = 686562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686562
Therefore, the GCF of Fractions 1365/318,4558/6477 is 1/686562
Least Common Multiple of 318,6477 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 318,6477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,6477) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(318,6477) x common factors =3 x 1 = 3
LCM(318,6477) = ( 318 × 6477 ) / 3
LCM(318,6477) = 2059686 / 3
LCM(318,6477) = 686562
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FAQs on GCF of Fractions of 1365/318, 4558/6477
1. What is the HCF of 1365,4558?
The HCF of 1365,4558 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 1365/318, 4558/6477?
Answer: GCF of Numerators as per given numbers 1365/318, 4558/6477 is
GCF of Numerators i.e. for 1365,4558 is 1
LCM of denominators i.e. for 318,6477 is 686562.
Thus, GCF of Fractions is 1/686562.Finally, GCF of Fractions for 1365/318, 4558/6477 is 1/686562.