GCF of 8487/987, 2228/1643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8487/987, 2228/1643 i.e 1/1621641 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8487/987, 2228/1643.
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 8487/987,2228/1643?
Given fractions are 8487/987,2228/1643
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 8487/987,2228/1643, numerators are 8487,2228
Denominators are 987,1643
The GCF of 8487,2228 is 1 .
LCM of 987,1643 is 1621641.
The greatest common factor of 8487/987,2228/1643 = [GCF of 8487,2228]/[LCM of 987,1643]= 1/1621641
Therefore, the GCF of 8487/987,2228/1643 is 1/1621641.
To find the highest common factor of 8487,2228, we have to find the factors of both numbers and list the highest common factor.
The factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487
The factors of 2228 are 1, 2, 4, 557, 1114, 2228
The HCF of 8487,2228 is 1.
Lets's calculate GCF of 8487,2228
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8487,2228 By Matching Biggest Common Factor Method
Now, list down the factors of 8487
:1,3,9,23,41,69,123,207,369,943,2829,8487
Now, list down the factors of 2228
:1,2,4,557,1114,2228
Greatest Common Factor
We found the factors 8487,2228 . The biggest common factor number is the GCF number.
So the greatest common factor 8487,2228 is 1.
Lets's calculate LCM of 987,1643
Given numbers has no common factors except 1. So, there LCM is their product i.e 1621641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1621641
Therefore, the GCF of Fractions 8487/987,2228/1643 is 1/1621641
Least Common Multiple of 987,1643 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 987,1643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,1643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,1643) x common factors =1 x 1 = 1
LCM(987,1643) = ( 987 × 1643 ) / 1
LCM(987,1643) = 1621641 / 1
LCM(987,1643) = 1621641
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FAQs on GCF of Fractions of 8487/987, 2228/1643
1. What is the HCF of 8487,2228?
The HCF of 8487,2228 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 8487/987, 2228/1643?
Answer: GCF of Numerators as per given numbers 8487/987, 2228/1643 is
GCF of Numerators i.e. for 8487,2228 is 1
LCM of denominators i.e. for 987,1643 is 1621641.
Thus, GCF of Fractions is 1/1621641.Finally, GCF of Fractions for 8487/987, 2228/1643 is 1/1621641.