GCF of 4383/658, 5918/793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4383/658, 5918/793 i.e 1/521794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4383/658, 5918/793.
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 4383/658,5918/793?
Given fractions are 4383/658,5918/793
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 4383/658,5918/793, numerators are 4383,5918
Denominators are 658,793
The GCF of 4383,5918 is 1 .
LCM of 658,793 is 521794.
The greatest common factor of 4383/658,5918/793 = [GCF of 4383,5918]/[LCM of 658,793]= 1/521794
Therefore, the GCF of 4383/658,5918/793 is 1/521794.
To find the highest common factor of 4383,5918, we have to find the factors of both numbers and list the highest common factor.
The factors of 4383 are 1, 3, 9, 487, 1461, 4383
The factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918
The HCF of 4383,5918 is 1.
Lets's calculate GCF of 4383,5918
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4383,5918 By Matching Biggest Common Factor Method
Now, list down the factors of 4383
:1,3,9,487,1461,4383
Now, list down the factors of 5918
:1,2,11,22,269,538,2959,5918
Greatest Common Factor
We found the factors 4383,5918 . The biggest common factor number is the GCF number.
So the greatest common factor 4383,5918 is 1.
Lets's calculate LCM of 658,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 521794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521794
Therefore, the GCF of Fractions 4383/658,5918/793 is 1/521794
Least Common Multiple of 658,793 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 658,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,793) x common factors =1 x 1 = 1
LCM(658,793) = ( 658 × 793 ) / 1
LCM(658,793) = 521794 / 1
LCM(658,793) = 521794
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FAQs on GCF of Fractions of 4383/658, 5918/793
1. What is the HCF of 4383,5918?
The HCF of 4383,5918 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 4383/658, 5918/793?
Answer: GCF of Numerators as per given numbers 4383/658, 5918/793 is
GCF of Numerators i.e. for 4383,5918 is 1
LCM of denominators i.e. for 658,793 is 521794.
Thus, GCF of Fractions is 1/521794.Finally, GCF of Fractions for 4383/658, 5918/793 is 1/521794.