GCF of 1478/343, 4194/4653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1478/343, 4194/4653 i.e 2/1595979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1478/343, 4194/4653.
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 1478/343,4194/4653?
Given fractions are 1478/343,4194/4653
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 1478/343,4194/4653, numerators are 1478,4194
Denominators are 343,4653
The GCF of 1478,4194 is 2 .
LCM of 343,4653 is 1595979.
The greatest common factor of 1478/343,4194/4653 = [GCF of 1478,4194]/[LCM of 343,4653]= 2/1595979
Therefore, the GCF of 1478/343,4194/4653 is 2/1595979.
To find the highest common factor of 1478,4194, we have to find the factors of both numbers and list the highest common factor.
The factors of 1478 are 1, 2, 739, 1478
The factors of 4194 are 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097, 4194
The HCF of 1478,4194 is 2.
Lets's calculate GCF of 1478,4194
| 2 | 1478, 4194 |
| 739, 2097 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1478,4194 By Matching Biggest Common Factor Method
Now, list down the factors of 1478
:1,2,739,1478
Now, list down the factors of 4194
:1,2,3,6,9,18,233,466,699,1398,2097,4194
Greatest Common Factor
We found the factors 1478,4194 . The biggest common factor number is the GCF number.
So the greatest common factor 1478,4194 is 2.
Lets's calculate LCM of 343,4653
Given numbers has no common factors except 1. So, there LCM is their product i.e 1595979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1595979
Therefore, the GCF of Fractions 1478/343,4194/4653 is 2/1595979
Least Common Multiple of 343,4653 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 343,4653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,4653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,4653) x common factors =1 x 1 = 1
LCM(343,4653) = ( 343 × 4653 ) / 1
LCM(343,4653) = 1595979 / 1
LCM(343,4653) = 1595979
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FAQs on GCF of Fractions of 1478/343, 4194/4653
1. What is the HCF of 1478,4194?
The HCF of 1478,4194 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 1478/343, 4194/4653?
Answer: GCF of Numerators as per given numbers 1478/343, 4194/4653 is
GCF of Numerators i.e. for 1478,4194 is 2
LCM of denominators i.e. for 343,4653 is 1595979.
Thus, GCF of Fractions is 2/1595979.Finally, GCF of Fractions for 1478/343, 4194/4653 is 2/1595979.