GCF of 5319/935, 2371/5658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5319/935, 2371/5658 i.e 1/5290230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5319/935, 2371/5658.
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 5319/935,2371/5658?
Given fractions are 5319/935,2371/5658
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 5319/935,2371/5658, numerators are 5319,2371
Denominators are 935,5658
The GCF of 5319,2371 is 1 .
LCM of 935,5658 is 5290230.
The greatest common factor of 5319/935,2371/5658 = [GCF of 5319,2371]/[LCM of 935,5658]= 1/5290230
Therefore, the GCF of 5319/935,2371/5658 is 1/5290230.
To find the highest common factor of 5319,2371, we have to find the factors of both numbers and list the highest common factor.
The factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319
The factors of 2371 are 1, 2371
The HCF of 5319,2371 is 1.
Lets's calculate GCF of 5319,2371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5319,2371 By Matching Biggest Common Factor Method
Now, list down the factors of 5319
:1,3,9,27,197,591,1773,5319
Now, list down the factors of 2371
:1,2371
Greatest Common Factor
We found the factors 5319,2371 . The biggest common factor number is the GCF number.
So the greatest common factor 5319,2371 is 1.
Lets's calculate LCM of 935,5658
Given numbers has no common factors except 1. So, there LCM is their product i.e 5290230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5290230
Therefore, the GCF of Fractions 5319/935,2371/5658 is 1/5290230
Least Common Multiple of 935,5658 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 935,5658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,5658) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,5658) x common factors =1 x 1 = 1
LCM(935,5658) = ( 935 × 5658 ) / 1
LCM(935,5658) = 5290230 / 1
LCM(935,5658) = 5290230
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5319/935, 2371/5658
1. What is the HCF of 5319,2371?
The HCF of 5319,2371 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 5319/935, 2371/5658?
Answer: GCF of Numerators as per given numbers 5319/935, 2371/5658 is
GCF of Numerators i.e. for 5319,2371 is 1
LCM of denominators i.e. for 935,5658 is 5290230.
Thus, GCF of Fractions is 1/5290230.Finally, GCF of Fractions for 5319/935, 2371/5658 is 1/5290230.