GCF of 8145/976, 8905/478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8145/976, 8905/478 i.e 5/233264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8145/976, 8905/478.
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 8145/976,8905/478?
Given fractions are 8145/976,8905/478
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 8145/976,8905/478, numerators are 8145,8905
Denominators are 976,478
The GCF of 8145,8905 is 5 .
LCM of 976,478 is 233264.
The greatest common factor of 8145/976,8905/478 = [GCF of 8145,8905]/[LCM of 976,478]= 5/233264
Therefore, the GCF of 8145/976,8905/478 is 5/233264.
To find the highest common factor of 8145,8905, we have to find the factors of both numbers and list the highest common factor.
The factors of 8145 are 1, 3, 5, 9, 15, 45, 181, 543, 905, 1629, 2715, 8145
The factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905
The HCF of 8145,8905 is 5.
Lets's calculate GCF of 8145,8905
| 5 | 8145, 8905 |
| 1629, 1781 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8145,8905 By Matching Biggest Common Factor Method
Now, list down the factors of 8145
:1,3,5,9,15,45,181,543,905,1629,2715,8145
Now, list down the factors of 8905
:1,5,13,65,137,685,1781,8905
Greatest Common Factor
We found the factors 8145,8905 . The biggest common factor number is the GCF number.
So the greatest common factor 8145,8905 is 5.
Lets's calculate LCM of 976,478
| 2 | 976, 478 |
| 488, 239 |
∴ So the LCM of the given numbers is 2 x 488 x 239 = 233264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/233264
Therefore, the GCF of Fractions 8145/976,8905/478 is 5/233264
Least Common Multiple of 976,478 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 976,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,478) x common factors =2 x 1 = 2
LCM(976,478) = ( 976 × 478 ) / 2
LCM(976,478) = 466528 / 2
LCM(976,478) = 233264
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FAQs on GCF of Fractions of 8145/976, 8905/478
1. What is the HCF of 8145,8905?
The HCF of 8145,8905 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 8145/976, 8905/478?
Answer: GCF of Numerators as per given numbers 8145/976, 8905/478 is
GCF of Numerators i.e. for 8145,8905 is 5
LCM of denominators i.e. for 976,478 is 233264.
Thus, GCF of Fractions is 5/233264.Finally, GCF of Fractions for 8145/976, 8905/478 is 5/233264.