GCF of 8105/640, 7816/5342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8105/640, 7816/5342 i.e 1/1709440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8105/640, 7816/5342.
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 8105/640,7816/5342?
Given fractions are 8105/640,7816/5342
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 8105/640,7816/5342, numerators are 8105,7816
Denominators are 640,5342
The GCF of 8105,7816 is 1 .
LCM of 640,5342 is 1709440.
The greatest common factor of 8105/640,7816/5342 = [GCF of 8105,7816]/[LCM of 640,5342]= 1/1709440
Therefore, the GCF of 8105/640,7816/5342 is 1/1709440.
To find the highest common factor of 8105,7816, we have to find the factors of both numbers and list the highest common factor.
The factors of 8105 are 1, 5, 1621, 8105
The factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816
The HCF of 8105,7816 is 1.
Lets's calculate GCF of 8105,7816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8105,7816 By Matching Biggest Common Factor Method
Now, list down the factors of 8105
:1,5,1621,8105
Now, list down the factors of 7816
:1,2,4,8,977,1954,3908,7816
Greatest Common Factor
We found the factors 8105,7816 . The biggest common factor number is the GCF number.
So the greatest common factor 8105,7816 is 1.
Lets's calculate LCM of 640,5342
| 2 | 640, 5342 |
| 320, 2671 |
∴ So the LCM of the given numbers is 2 x 320 x 2671 = 1709440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1709440
Therefore, the GCF of Fractions 8105/640,7816/5342 is 1/1709440
Least Common Multiple of 640,5342 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 640,5342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,5342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,5342) x common factors =2 x 1 = 2
LCM(640,5342) = ( 640 × 5342 ) / 2
LCM(640,5342) = 3418880 / 2
LCM(640,5342) = 1709440
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FAQs on GCF of Fractions of 8105/640, 7816/5342
1. What is the HCF of 8105,7816?
The HCF of 8105,7816 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 8105/640, 7816/5342?
Answer: GCF of Numerators as per given numbers 8105/640, 7816/5342 is
GCF of Numerators i.e. for 8105,7816 is 1
LCM of denominators i.e. for 640,5342 is 1709440.
Thus, GCF of Fractions is 1/1709440.Finally, GCF of Fractions for 8105/640, 7816/5342 is 1/1709440.