GCF of 8330/361, 2895/8028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8330/361, 2895/8028 i.e 5/2898108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8330/361, 2895/8028.
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 8330/361,2895/8028?
Given fractions are 8330/361,2895/8028
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 8330/361,2895/8028, numerators are 8330,2895
Denominators are 361,8028
The GCF of 8330,2895 is 5 .
LCM of 361,8028 is 2898108.
The greatest common factor of 8330/361,2895/8028 = [GCF of 8330,2895]/[LCM of 361,8028]= 5/2898108
Therefore, the GCF of 8330/361,2895/8028 is 5/2898108.
To find the highest common factor of 8330,2895, we have to find the factors of both numbers and list the highest common factor.
The factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330
The factors of 2895 are 1, 3, 5, 15, 193, 579, 965, 2895
The HCF of 8330,2895 is 5.
Lets's calculate GCF of 8330,2895
| 5 | 8330, 2895 |
| 1666, 579 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8330,2895 By Matching Biggest Common Factor Method
Now, list down the factors of 8330
:1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330
Now, list down the factors of 2895
:1,3,5,15,193,579,965,2895
Greatest Common Factor
We found the factors 8330,2895 . The biggest common factor number is the GCF number.
So the greatest common factor 8330,2895 is 5.
Lets's calculate LCM of 361,8028
Given numbers has no common factors except 1. So, there LCM is their product i.e 2898108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2898108
Therefore, the GCF of Fractions 8330/361,2895/8028 is 5/2898108
Least Common Multiple of 361,8028 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 361,8028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,8028) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,8028) x common factors =1 x 1 = 1
LCM(361,8028) = ( 361 × 8028 ) / 1
LCM(361,8028) = 2898108 / 1
LCM(361,8028) = 2898108
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FAQs on GCF of Fractions of 8330/361, 2895/8028
1. What is the HCF of 8330,2895?
The HCF of 8330,2895 is 5
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 8330/361, 2895/8028?
Answer: GCF of Numerators as per given numbers 8330/361, 2895/8028 is
GCF of Numerators i.e. for 8330,2895 is 5
LCM of denominators i.e. for 361,8028 is 2898108.
Thus, GCF of Fractions is 5/2898108.Finally, GCF of Fractions for 8330/361, 2895/8028 is 5/2898108.