GCF of 8613/509, 8890/8228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8613/509, 8890/8228 i.e 1/4188052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8613/509, 8890/8228.
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 8613/509,8890/8228?
Given fractions are 8613/509,8890/8228
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 8613/509,8890/8228, numerators are 8613,8890
Denominators are 509,8228
The GCF of 8613,8890 is 1 .
LCM of 509,8228 is 4188052.
The greatest common factor of 8613/509,8890/8228 = [GCF of 8613,8890]/[LCM of 509,8228]= 1/4188052
Therefore, the GCF of 8613/509,8890/8228 is 1/4188052.
To find the highest common factor of 8613,8890, we have to find the factors of both numbers and list the highest common factor.
The factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613
The factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890
The HCF of 8613,8890 is 1.
Lets's calculate GCF of 8613,8890
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8613,8890 By Matching Biggest Common Factor Method
Now, list down the factors of 8613
:1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613
Now, list down the factors of 8890
:1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890
Greatest Common Factor
We found the factors 8613,8890 . The biggest common factor number is the GCF number.
So the greatest common factor 8613,8890 is 1.
Lets's calculate LCM of 509,8228
Given numbers has no common factors except 1. So, there LCM is their product i.e 4188052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4188052
Therefore, the GCF of Fractions 8613/509,8890/8228 is 1/4188052
Least Common Multiple of 509,8228 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 509,8228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,8228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,8228) x common factors =1 x 1 = 1
LCM(509,8228) = ( 509 × 8228 ) / 1
LCM(509,8228) = 4188052 / 1
LCM(509,8228) = 4188052
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FAQs on GCF of Fractions of 8613/509, 8890/8228
1. What is the HCF of 8613,8890?
The HCF of 8613,8890 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 8613/509, 8890/8228?
Answer: GCF of Numerators as per given numbers 8613/509, 8890/8228 is
GCF of Numerators i.e. for 8613,8890 is 1
LCM of denominators i.e. for 509,8228 is 4188052.
Thus, GCF of Fractions is 1/4188052.Finally, GCF of Fractions for 8613/509, 8890/8228 is 1/4188052.