GCF of 8920/15, 8030/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8920/15, 8030/815 i.e 10/2445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8920/15, 8030/815.
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 8920/15,8030/815?
Given fractions are 8920/15,8030/815
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 8920/15,8030/815, numerators are 8920,8030
Denominators are 15,815
The GCF of 8920,8030 is 10 .
LCM of 15,815 is 2445.
The greatest common factor of 8920/15,8030/815 = [GCF of 8920,8030]/[LCM of 15,815]= 10/2445
Therefore, the GCF of 8920/15,8030/815 is 10/2445.
To find the highest common factor of 8920,8030, we have to find the factors of both numbers and list the highest common factor.
The factors of 8920 are 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920
The factors of 8030 are 1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030
The HCF of 8920,8030 is 10.
Lets's calculate GCF of 8920,8030
| 2 | 8920, 8030 |
| 5 | 4460, 4015 |
| 892, 803 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8920,8030 By Matching Biggest Common Factor Method
Now, list down the factors of 8920
:1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920
Now, list down the factors of 8030
:1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030
Greatest Common Factor
We found the factors 8920,8030 . The biggest common factor number is the GCF number.
So the greatest common factor 8920,8030 is 10.
Lets's calculate LCM of 15,815
| 5 | 15, 815 |
| 3, 163 |
∴ So the LCM of the given numbers is 5 x 3 x 163 = 2445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2445
Therefore, the GCF of Fractions 8920/15,8030/815 is 10/2445
Least Common Multiple of 15,815 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 15,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,815) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(15,815) x common factors =5 x 1 = 5
LCM(15,815) = ( 15 × 815 ) / 5
LCM(15,815) = 12225 / 5
LCM(15,815) = 2445
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FAQs on GCF of Fractions of 8920/15, 8030/815
1. What is the HCF of 8920,8030?
The HCF of 8920,8030 is 10
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 8920/15, 8030/815?
Answer: GCF of Numerators as per given numbers 8920/15, 8030/815 is
GCF of Numerators i.e. for 8920,8030 is 10
LCM of denominators i.e. for 15,815 is 2445.
Thus, GCF of Fractions is 10/2445.Finally, GCF of Fractions for 8920/15, 8030/815 is 10/2445.