GCF of 3905/772, 8220/1024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3905/772, 8220/1024 i.e 5/197632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3905/772, 8220/1024.
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 3905/772,8220/1024?
Given fractions are 3905/772,8220/1024
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 3905/772,8220/1024, numerators are 3905,8220
Denominators are 772,1024
The GCF of 3905,8220 is 5 .
LCM of 772,1024 is 197632.
The greatest common factor of 3905/772,8220/1024 = [GCF of 3905,8220]/[LCM of 772,1024]= 5/197632
Therefore, the GCF of 3905/772,8220/1024 is 5/197632.
To find the highest common factor of 3905,8220, we have to find the factors of both numbers and list the highest common factor.
The factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The HCF of 3905,8220 is 5.
Lets's calculate GCF of 3905,8220
| 5 | 3905, 8220 |
| 781, 1644 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3905,8220 By Matching Biggest Common Factor Method
Now, list down the factors of 3905
:1,5,11,55,71,355,781,3905
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Greatest Common Factor
We found the factors 3905,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 3905,8220 is 5.
Lets's calculate LCM of 772,1024
| 2 | 772, 1024 |
| 2 | 386, 512 |
| 193, 256 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 256 = 197632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/197632
Therefore, the GCF of Fractions 3905/772,8220/1024 is 5/197632
Least Common Multiple of 772,1024 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 772,1024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,1024) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,1024) x common factors =4 x 1 = 4
LCM(772,1024) = ( 772 × 1024 ) / 4
LCM(772,1024) = 790528 / 4
LCM(772,1024) = 197632
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FAQs on GCF of Fractions of 3905/772, 8220/1024
1. What is the HCF of 3905,8220?
The HCF of 3905,8220 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 3905/772, 8220/1024?
Answer: GCF of Numerators as per given numbers 3905/772, 8220/1024 is
GCF of Numerators i.e. for 3905,8220 is 5
LCM of denominators i.e. for 772,1024 is 197632.
Thus, GCF of Fractions is 5/197632.Finally, GCF of Fractions for 3905/772, 8220/1024 is 5/197632.