GCF of 5110/954, 8441/5527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5110/954, 8441/5527 i.e 1/5272758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5110/954, 8441/5527.
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 5110/954,8441/5527?
Given fractions are 5110/954,8441/5527
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 5110/954,8441/5527, numerators are 5110,8441
Denominators are 954,5527
The GCF of 5110,8441 is 1 .
LCM of 954,5527 is 5272758.
The greatest common factor of 5110/954,8441/5527 = [GCF of 5110,8441]/[LCM of 954,5527]= 1/5272758
Therefore, the GCF of 5110/954,8441/5527 is 1/5272758.
To find the highest common factor of 5110,8441, we have to find the factors of both numbers and list the highest common factor.
The factors of 5110 are 1, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110
The factors of 8441 are 1, 23, 367, 8441
The HCF of 5110,8441 is 1.
Lets's calculate GCF of 5110,8441
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5110,8441 By Matching Biggest Common Factor Method
Now, list down the factors of 5110
:1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110
Now, list down the factors of 8441
:1,23,367,8441
Greatest Common Factor
We found the factors 5110,8441 . The biggest common factor number is the GCF number.
So the greatest common factor 5110,8441 is 1.
Lets's calculate LCM of 954,5527
Given numbers has no common factors except 1. So, there LCM is their product i.e 5272758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5272758
Therefore, the GCF of Fractions 5110/954,8441/5527 is 1/5272758
Least Common Multiple of 954,5527 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 954,5527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,5527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(954,5527) x common factors =1 x 1 = 1
LCM(954,5527) = ( 954 × 5527 ) / 1
LCM(954,5527) = 5272758 / 1
LCM(954,5527) = 5272758
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FAQs on GCF of Fractions of 5110/954, 8441/5527
1. What is the HCF of 5110,8441?
The HCF of 5110,8441 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 5110/954, 8441/5527?
Answer: GCF of Numerators as per given numbers 5110/954, 8441/5527 is
GCF of Numerators i.e. for 5110,8441 is 1
LCM of denominators i.e. for 954,5527 is 5272758.
Thus, GCF of Fractions is 1/5272758.Finally, GCF of Fractions for 5110/954, 8441/5527 is 1/5272758.