GCF of 8104/435, 3805/5095
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8104/435, 3805/5095 i.e 1/443265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8104/435, 3805/5095.
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 8104/435,3805/5095?
Given fractions are 8104/435,3805/5095
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 8104/435,3805/5095, numerators are 8104,3805
Denominators are 435,5095
The GCF of 8104,3805 is 1 .
LCM of 435,5095 is 443265.
The greatest common factor of 8104/435,3805/5095 = [GCF of 8104,3805]/[LCM of 435,5095]= 1/443265
Therefore, the GCF of 8104/435,3805/5095 is 1/443265.
To find the highest common factor of 8104,3805, we have to find the factors of both numbers and list the highest common factor.
The factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104
The factors of 3805 are 1, 5, 761, 3805
The HCF of 8104,3805 is 1.
Lets's calculate GCF of 8104,3805
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8104,3805 By Matching Biggest Common Factor Method
Now, list down the factors of 8104
:1,2,4,8,1013,2026,4052,8104
Now, list down the factors of 3805
:1,5,761,3805
Greatest Common Factor
We found the factors 8104,3805 . The biggest common factor number is the GCF number.
So the greatest common factor 8104,3805 is 1.
Lets's calculate LCM of 435,5095
| 5 | 435, 5095 |
| 87, 1019 |
∴ So the LCM of the given numbers is 5 x 87 x 1019 = 443265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/443265
Therefore, the GCF of Fractions 8104/435,3805/5095 is 1/443265
Least Common Multiple of 435,5095 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 435,5095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,5095) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(435,5095) x common factors =5 x 1 = 5
LCM(435,5095) = ( 435 × 5095 ) / 5
LCM(435,5095) = 2216325 / 5
LCM(435,5095) = 443265
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FAQs on GCF of Fractions of 8104/435, 3805/5095
1. What is the HCF of 8104,3805?
The HCF of 8104,3805 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 8104/435, 3805/5095?
Answer: GCF of Numerators as per given numbers 8104/435, 3805/5095 is
GCF of Numerators i.e. for 8104,3805 is 1
LCM of denominators i.e. for 435,5095 is 443265.
Thus, GCF of Fractions is 1/443265.Finally, GCF of Fractions for 8104/435, 3805/5095 is 1/443265.