GCF of 8604/884, 1403/9908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8604/884, 1403/9908 i.e 1/2189668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8604/884, 1403/9908.
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 8604/884,1403/9908?
Given fractions are 8604/884,1403/9908
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 8604/884,1403/9908, numerators are 8604,1403
Denominators are 884,9908
The GCF of 8604,1403 is 1 .
LCM of 884,9908 is 2189668.
The greatest common factor of 8604/884,1403/9908 = [GCF of 8604,1403]/[LCM of 884,9908]= 1/2189668
Therefore, the GCF of 8604/884,1403/9908 is 1/2189668.
To find the highest common factor of 8604,1403, we have to find the factors of both numbers and list the highest common factor.
The factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604
The factors of 1403 are 1, 23, 61, 1403
The HCF of 8604,1403 is 1.
Lets's calculate GCF of 8604,1403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8604,1403 By Matching Biggest Common Factor Method
Now, list down the factors of 8604
:1,2,3,4,6,9,12,18,36,239,478,717,956,1434,2151,2868,4302,8604
Now, list down the factors of 1403
:1,23,61,1403
Greatest Common Factor
We found the factors 8604,1403 . The biggest common factor number is the GCF number.
So the greatest common factor 8604,1403 is 1.
Lets's calculate LCM of 884,9908
| 2 | 884, 9908 |
| 2 | 442, 4954 |
| 221, 2477 |
∴ So the LCM of the given numbers is 2 x 2 x 221 x 2477 = 2189668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2189668
Therefore, the GCF of Fractions 8604/884,1403/9908 is 1/2189668
Least Common Multiple of 884,9908 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 884,9908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,9908) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(884,9908) x common factors =4 x 1 = 4
LCM(884,9908) = ( 884 × 9908 ) / 4
LCM(884,9908) = 8758672 / 4
LCM(884,9908) = 2189668
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FAQs on GCF of Fractions of 8604/884, 1403/9908
1. What is the HCF of 8604,1403?
The HCF of 8604,1403 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 8604/884, 1403/9908?
Answer: GCF of Numerators as per given numbers 8604/884, 1403/9908 is
GCF of Numerators i.e. for 8604,1403 is 1
LCM of denominators i.e. for 884,9908 is 2189668.
Thus, GCF of Fractions is 1/2189668.Finally, GCF of Fractions for 8604/884, 1403/9908 is 1/2189668.