GCF of 3691/261, 3841/503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3691/261, 3841/503 i.e 1/131283 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3691/261, 3841/503.
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 3691/261,3841/503?
Given fractions are 3691/261,3841/503
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 3691/261,3841/503, numerators are 3691,3841
Denominators are 261,503
The GCF of 3691,3841 is 1 .
LCM of 261,503 is 131283.
The greatest common factor of 3691/261,3841/503 = [GCF of 3691,3841]/[LCM of 261,503]= 1/131283
Therefore, the GCF of 3691/261,3841/503 is 1/131283.
To find the highest common factor of 3691,3841, we have to find the factors of both numbers and list the highest common factor.
The factors of 3691 are 1, 3691
The factors of 3841 are 1, 23, 167, 3841
The HCF of 3691,3841 is 1.
Lets's calculate GCF of 3691,3841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3691,3841 By Matching Biggest Common Factor Method
Now, list down the factors of 3691
:1,3691
Now, list down the factors of 3841
:1,23,167,3841
Greatest Common Factor
We found the factors 3691,3841 . The biggest common factor number is the GCF number.
So the greatest common factor 3691,3841 is 1.
Lets's calculate LCM of 261,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 131283
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131283
Therefore, the GCF of Fractions 3691/261,3841/503 is 1/131283
Least Common Multiple of 261,503 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 261,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,503) x common factors =1 x 1 = 1
LCM(261,503) = ( 261 × 503 ) / 1
LCM(261,503) = 131283 / 1
LCM(261,503) = 131283
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FAQs on GCF of Fractions of 3691/261, 3841/503
1. What is the HCF of 3691,3841?
The HCF of 3691,3841 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 3691/261, 3841/503?
Answer: GCF of Numerators as per given numbers 3691/261, 3841/503 is
GCF of Numerators i.e. for 3691,3841 is 1
LCM of denominators i.e. for 261,503 is 131283.
Thus, GCF of Fractions is 1/131283.Finally, GCF of Fractions for 3691/261, 3841/503 is 1/131283.