GCF of 5805/107, 5201/696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5805/107, 5201/696 i.e 1/74472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5805/107, 5201/696.
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 5805/107,5201/696?
Given fractions are 5805/107,5201/696
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 5805/107,5201/696, numerators are 5805,5201
Denominators are 107,696
The GCF of 5805,5201 is 1 .
LCM of 107,696 is 74472.
The greatest common factor of 5805/107,5201/696 = [GCF of 5805,5201]/[LCM of 107,696]= 1/74472
Therefore, the GCF of 5805/107,5201/696 is 1/74472.
To find the highest common factor of 5805,5201, we have to find the factors of both numbers and list the highest common factor.
The factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805
The factors of 5201 are 1, 7, 743, 5201
The HCF of 5805,5201 is 1.
Lets's calculate GCF of 5805,5201
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5805,5201 By Matching Biggest Common Factor Method
Now, list down the factors of 5805
:1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Now, list down the factors of 5201
:1,7,743,5201
Greatest Common Factor
We found the factors 5805,5201 . The biggest common factor number is the GCF number.
So the greatest common factor 5805,5201 is 1.
Lets's calculate LCM of 107,696
Given numbers has no common factors except 1. So, there LCM is their product i.e 74472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74472
Therefore, the GCF of Fractions 5805/107,5201/696 is 1/74472
Least Common Multiple of 107,696 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 107,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,696) x common factors =1 x 1 = 1
LCM(107,696) = ( 107 × 696 ) / 1
LCM(107,696) = 74472 / 1
LCM(107,696) = 74472
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FAQs on GCF of Fractions of 5805/107, 5201/696
1. What is the HCF of 5805,5201?
The HCF of 5805,5201 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 5805/107, 5201/696?
Answer: GCF of Numerators as per given numbers 5805/107, 5201/696 is
GCF of Numerators i.e. for 5805,5201 is 1
LCM of denominators i.e. for 107,696 is 74472.
Thus, GCF of Fractions is 1/74472.Finally, GCF of Fractions for 5805/107, 5201/696 is 1/74472.