GCF of 8003/191, 3493/6317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8003/191, 3493/6317 i.e 1/1206547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8003/191, 3493/6317.
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 8003/191,3493/6317?
Given fractions are 8003/191,3493/6317
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 8003/191,3493/6317, numerators are 8003,3493
Denominators are 191,6317
The GCF of 8003,3493 is 1 .
LCM of 191,6317 is 1206547.
The greatest common factor of 8003/191,3493/6317 = [GCF of 8003,3493]/[LCM of 191,6317]= 1/1206547
Therefore, the GCF of 8003/191,3493/6317 is 1/1206547.
To find the highest common factor of 8003,3493, we have to find the factors of both numbers and list the highest common factor.
The factors of 8003 are 1, 53, 151, 8003
The factors of 3493 are 1, 7, 499, 3493
The HCF of 8003,3493 is 1.
Lets's calculate GCF of 8003,3493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8003,3493 By Matching Biggest Common Factor Method
Now, list down the factors of 8003
:1,53,151,8003
Now, list down the factors of 3493
:1,7,499,3493
Greatest Common Factor
We found the factors 8003,3493 . The biggest common factor number is the GCF number.
So the greatest common factor 8003,3493 is 1.
Lets's calculate LCM of 191,6317
Given numbers has no common factors except 1. So, there LCM is their product i.e 1206547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1206547
Therefore, the GCF of Fractions 8003/191,3493/6317 is 1/1206547
Least Common Multiple of 191,6317 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 191,6317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,6317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,6317) x common factors =1 x 1 = 1
LCM(191,6317) = ( 191 × 6317 ) / 1
LCM(191,6317) = 1206547 / 1
LCM(191,6317) = 1206547
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FAQs on GCF of Fractions of 8003/191, 3493/6317
1. What is the HCF of 8003,3493?
The HCF of 8003,3493 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 8003/191, 3493/6317?
Answer: GCF of Numerators as per given numbers 8003/191, 3493/6317 is
GCF of Numerators i.e. for 8003,3493 is 1
LCM of denominators i.e. for 191,6317 is 1206547.
Thus, GCF of Fractions is 1/1206547.Finally, GCF of Fractions for 8003/191, 3493/6317 is 1/1206547.