GCF of 8317/805, 5215/7084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8317/805, 5215/7084 i.e 1/35420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8317/805, 5215/7084.
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 8317/805,5215/7084?
Given fractions are 8317/805,5215/7084
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 8317/805,5215/7084, numerators are 8317,5215
Denominators are 805,7084
The GCF of 8317,5215 is 1 .
LCM of 805,7084 is 35420.
The greatest common factor of 8317/805,5215/7084 = [GCF of 8317,5215]/[LCM of 805,7084]= 1/35420
Therefore, the GCF of 8317/805,5215/7084 is 1/35420.
To find the highest common factor of 8317,5215, we have to find the factors of both numbers and list the highest common factor.
The factors of 8317 are 1, 8317
The factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215
The HCF of 8317,5215 is 1.
Lets's calculate GCF of 8317,5215
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8317,5215 By Matching Biggest Common Factor Method
Now, list down the factors of 8317
:1,8317
Now, list down the factors of 5215
:1,5,7,35,149,745,1043,5215
Greatest Common Factor
We found the factors 8317,5215 . The biggest common factor number is the GCF number.
So the greatest common factor 8317,5215 is 1.
Lets's calculate LCM of 805,7084
| 7 | 805, 7084 |
| 23 | 115, 1012 |
| 5, 44 |
∴ So the LCM of the given numbers is 7 x 23 x 5 x 44 = 35420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35420
Therefore, the GCF of Fractions 8317/805,5215/7084 is 1/35420
Least Common Multiple of 805,7084 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 805,7084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,7084) = 161
common factors(in case of two or more numbers have common factors) = 1
GCF(805,7084) x common factors =161 x 1 = 161
LCM(805,7084) = ( 805 × 7084 ) / 161
LCM(805,7084) = 5702620 / 161
LCM(805,7084) = 35420
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FAQs on GCF of Fractions of 8317/805, 5215/7084
1. What is the HCF of 8317,5215?
The HCF of 8317,5215 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 8317/805, 5215/7084?
Answer: GCF of Numerators as per given numbers 8317/805, 5215/7084 is
GCF of Numerators i.e. for 8317,5215 is 1
LCM of denominators i.e. for 805,7084 is 35420.
Thus, GCF of Fractions is 1/35420.Finally, GCF of Fractions for 8317/805, 5215/7084 is 1/35420.