GCF of 8868/898, 1905/8846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8868/898, 1905/8846 i.e 3/3971854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8868/898, 1905/8846.
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 8868/898,1905/8846?
Given fractions are 8868/898,1905/8846
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 8868/898,1905/8846, numerators are 8868,1905
Denominators are 898,8846
The GCF of 8868,1905 is 3 .
LCM of 898,8846 is 3971854.
The greatest common factor of 8868/898,1905/8846 = [GCF of 8868,1905]/[LCM of 898,8846]= 3/3971854
Therefore, the GCF of 8868/898,1905/8846 is 3/3971854.
To find the highest common factor of 8868,1905, we have to find the factors of both numbers and list the highest common factor.
The factors of 8868 are 1, 2, 3, 4, 6, 12, 739, 1478, 2217, 2956, 4434, 8868
The factors of 1905 are 1, 3, 5, 15, 127, 381, 635, 1905
The HCF of 8868,1905 is 3.
Lets's calculate GCF of 8868,1905
| 3 | 8868, 1905 |
| 2956, 635 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8868,1905 By Matching Biggest Common Factor Method
Now, list down the factors of 8868
:1,2,3,4,6,12,739,1478,2217,2956,4434,8868
Now, list down the factors of 1905
:1,3,5,15,127,381,635,1905
Greatest Common Factor
We found the factors 8868,1905 . The biggest common factor number is the GCF number.
So the greatest common factor 8868,1905 is 3.
Lets's calculate LCM of 898,8846
| 2 | 898, 8846 |
| 449, 4423 |
∴ So the LCM of the given numbers is 2 x 449 x 4423 = 3971854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3971854
Therefore, the GCF of Fractions 8868/898,1905/8846 is 3/3971854
Least Common Multiple of 898,8846 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 898,8846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,8846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,8846) x common factors =2 x 1 = 2
LCM(898,8846) = ( 898 × 8846 ) / 2
LCM(898,8846) = 7943708 / 2
LCM(898,8846) = 3971854
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FAQs on GCF of Fractions of 8868/898, 1905/8846
1. What is the HCF of 8868,1905?
The HCF of 8868,1905 is 3
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 8868/898, 1905/8846?
Answer: GCF of Numerators as per given numbers 8868/898, 1905/8846 is
GCF of Numerators i.e. for 8868,1905 is 3
LCM of denominators i.e. for 898,8846 is 3971854.
Thus, GCF of Fractions is 3/3971854.Finally, GCF of Fractions for 8868/898, 1905/8846 is 3/3971854.