GCF of 5431/414, 4346/3479
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5431/414, 4346/3479 i.e 1/1440306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5431/414, 4346/3479.
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 5431/414,4346/3479?
Given fractions are 5431/414,4346/3479
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 5431/414,4346/3479, numerators are 5431,4346
Denominators are 414,3479
The GCF of 5431,4346 is 1 .
LCM of 414,3479 is 1440306.
The greatest common factor of 5431/414,4346/3479 = [GCF of 5431,4346]/[LCM of 414,3479]= 1/1440306
Therefore, the GCF of 5431/414,4346/3479 is 1/1440306.
To find the highest common factor of 5431,4346, we have to find the factors of both numbers and list the highest common factor.
The factors of 5431 are 1, 5431
The factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346
The HCF of 5431,4346 is 1.
Lets's calculate GCF of 5431,4346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5431,4346 By Matching Biggest Common Factor Method
Now, list down the factors of 5431
:1,5431
Now, list down the factors of 4346
:1,2,41,53,82,106,2173,4346
Greatest Common Factor
We found the factors 5431,4346 . The biggest common factor number is the GCF number.
So the greatest common factor 5431,4346 is 1.
Lets's calculate LCM of 414,3479
Given numbers has no common factors except 1. So, there LCM is their product i.e 1440306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1440306
Therefore, the GCF of Fractions 5431/414,4346/3479 is 1/1440306
Least Common Multiple of 414,3479 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 414,3479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,3479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,3479) x common factors =1 x 1 = 1
LCM(414,3479) = ( 414 × 3479 ) / 1
LCM(414,3479) = 1440306 / 1
LCM(414,3479) = 1440306
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FAQs on GCF of Fractions of 5431/414, 4346/3479
1. What is the HCF of 5431,4346?
The HCF of 5431,4346 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 5431/414, 4346/3479?
Answer: GCF of Numerators as per given numbers 5431/414, 4346/3479 is
GCF of Numerators i.e. for 5431,4346 is 1
LCM of denominators i.e. for 414,3479 is 1440306.
Thus, GCF of Fractions is 1/1440306.Finally, GCF of Fractions for 5431/414, 4346/3479 is 1/1440306.