GCF of 3960/809, 8740/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3960/809, 8740/505 i.e 20/408545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3960/809, 8740/505.
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 3960/809,8740/505?
Given fractions are 3960/809,8740/505
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 3960/809,8740/505, numerators are 3960,8740
Denominators are 809,505
The GCF of 3960,8740 is 20 .
LCM of 809,505 is 408545.
The greatest common factor of 3960/809,8740/505 = [GCF of 3960,8740]/[LCM of 809,505]= 20/408545
Therefore, the GCF of 3960/809,8740/505 is 20/408545.
To find the highest common factor of 3960,8740, we have to find the factors of both numbers and list the highest common factor.
The factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960
The factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740
The HCF of 3960,8740 is 20.
Lets's calculate GCF of 3960,8740
| 2 | 3960, 8740 |
| 2 | 1980, 4370 |
| 5 | 990, 2185 |
| 198, 437 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 3960,8740 By Matching Biggest Common Factor Method
Now, list down the factors of 3960
:1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960
Now, list down the factors of 8740
:1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740
Greatest Common Factor
We found the factors 3960,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 3960,8740 is 20.
Lets's calculate LCM of 809,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 408545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/408545
Therefore, the GCF of Fractions 3960/809,8740/505 is 20/408545
Least Common Multiple of 809,505 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 809,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,505) x common factors =1 x 1 = 1
LCM(809,505) = ( 809 × 505 ) / 1
LCM(809,505) = 408545 / 1
LCM(809,505) = 408545
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FAQs on GCF of Fractions of 3960/809, 8740/505
1. What is the HCF of 3960,8740?
The HCF of 3960,8740 is 20
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 3960/809, 8740/505?
Answer: GCF of Numerators as per given numbers 3960/809, 8740/505 is
GCF of Numerators i.e. for 3960,8740 is 20
LCM of denominators i.e. for 809,505 is 408545.
Thus, GCF of Fractions is 20/408545.Finally, GCF of Fractions for 3960/809, 8740/505 is 20/408545.