GCF of 5781/253, 8116/1915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5781/253, 8116/1915 i.e 1/484495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5781/253, 8116/1915.
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 5781/253,8116/1915?
Given fractions are 5781/253,8116/1915
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 5781/253,8116/1915, numerators are 5781,8116
Denominators are 253,1915
The GCF of 5781,8116 is 1 .
LCM of 253,1915 is 484495.
The greatest common factor of 5781/253,8116/1915 = [GCF of 5781,8116]/[LCM of 253,1915]= 1/484495
Therefore, the GCF of 5781/253,8116/1915 is 1/484495.
To find the highest common factor of 5781,8116, we have to find the factors of both numbers and list the highest common factor.
The factors of 5781 are 1, 3, 41, 47, 123, 141, 1927, 5781
The factors of 8116 are 1, 2, 4, 2029, 4058, 8116
The HCF of 5781,8116 is 1.
Lets's calculate GCF of 5781,8116
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5781,8116 By Matching Biggest Common Factor Method
Now, list down the factors of 5781
:1,3,41,47,123,141,1927,5781
Now, list down the factors of 8116
:1,2,4,2029,4058,8116
Greatest Common Factor
We found the factors 5781,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 5781,8116 is 1.
Lets's calculate LCM of 253,1915
Given numbers has no common factors except 1. So, there LCM is their product i.e 484495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/484495
Therefore, the GCF of Fractions 5781/253,8116/1915 is 1/484495
Least Common Multiple of 253,1915 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 253,1915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,1915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,1915) x common factors =1 x 1 = 1
LCM(253,1915) = ( 253 × 1915 ) / 1
LCM(253,1915) = 484495 / 1
LCM(253,1915) = 484495
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FAQs on GCF of Fractions of 5781/253, 8116/1915
1. What is the HCF of 5781,8116?
The HCF of 5781,8116 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 5781/253, 8116/1915?
Answer: GCF of Numerators as per given numbers 5781/253, 8116/1915 is
GCF of Numerators i.e. for 5781,8116 is 1
LCM of denominators i.e. for 253,1915 is 484495.
Thus, GCF of Fractions is 1/484495.Finally, GCF of Fractions for 5781/253, 8116/1915 is 1/484495.