GCF of 3791/715, 6480/5705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3791/715, 6480/5705 i.e 1/815815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3791/715, 6480/5705.
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 3791/715,6480/5705?
Given fractions are 3791/715,6480/5705
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 3791/715,6480/5705, numerators are 3791,6480
Denominators are 715,5705
The GCF of 3791,6480 is 1 .
LCM of 715,5705 is 815815.
The greatest common factor of 3791/715,6480/5705 = [GCF of 3791,6480]/[LCM of 715,5705]= 1/815815
Therefore, the GCF of 3791/715,6480/5705 is 1/815815.
To find the highest common factor of 3791,6480, we have to find the factors of both numbers and list the highest common factor.
The factors of 3791 are 1, 17, 223, 3791
The factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480
The HCF of 3791,6480 is 1.
Lets's calculate GCF of 3791,6480
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3791,6480 By Matching Biggest Common Factor Method
Now, list down the factors of 3791
:1,17,223,3791
Now, list down the factors of 6480
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,81,90,108,120,135,144,162,180,216,240,270,324,360,405,432,540,648,720,810,1080,1296,1620,2160,3240,6480
Greatest Common Factor
We found the factors 3791,6480 . The biggest common factor number is the GCF number.
So the greatest common factor 3791,6480 is 1.
Lets's calculate LCM of 715,5705
| 5 | 715, 5705 |
| 143, 1141 |
∴ So the LCM of the given numbers is 5 x 143 x 1141 = 815815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/815815
Therefore, the GCF of Fractions 3791/715,6480/5705 is 1/815815
Least Common Multiple of 715,5705 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 715,5705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,5705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,5705) x common factors =5 x 1 = 5
LCM(715,5705) = ( 715 × 5705 ) / 5
LCM(715,5705) = 4079075 / 5
LCM(715,5705) = 815815
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FAQs on GCF of Fractions of 3791/715, 6480/5705
1. What is the HCF of 3791,6480?
The HCF of 3791,6480 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 3791/715, 6480/5705?
Answer: GCF of Numerators as per given numbers 3791/715, 6480/5705 is
GCF of Numerators i.e. for 3791,6480 is 1
LCM of denominators i.e. for 715,5705 is 815815.
Thus, GCF of Fractions is 1/815815.Finally, GCF of Fractions for 3791/715, 6480/5705 is 1/815815.