GCF of 5775/172, 8340/3931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5775/172, 8340/3931 i.e 15/676132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5775/172, 8340/3931.
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 5775/172,8340/3931?
Given fractions are 5775/172,8340/3931
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 5775/172,8340/3931, numerators are 5775,8340
Denominators are 172,3931
The GCF of 5775,8340 is 15 .
LCM of 172,3931 is 676132.
The greatest common factor of 5775/172,8340/3931 = [GCF of 5775,8340]/[LCM of 172,3931]= 15/676132
Therefore, the GCF of 5775/172,8340/3931 is 15/676132.
To find the highest common factor of 5775,8340, we have to find the factors of both numbers and list the highest common factor.
The factors of 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775
The factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
The HCF of 5775,8340 is 15.
Lets's calculate GCF of 5775,8340
| 3 | 5775, 8340 |
| 5 | 1925, 2780 |
| 385, 556 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5775,8340 By Matching Biggest Common Factor Method
Now, list down the factors of 5775
:1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775
Now, list down the factors of 8340
:1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Greatest Common Factor
We found the factors 5775,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 5775,8340 is 15.
Lets's calculate LCM of 172,3931
Given numbers has no common factors except 1. So, there LCM is their product i.e 676132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/676132
Therefore, the GCF of Fractions 5775/172,8340/3931 is 15/676132
Least Common Multiple of 172,3931 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 172,3931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,3931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,3931) x common factors =1 x 1 = 1
LCM(172,3931) = ( 172 × 3931 ) / 1
LCM(172,3931) = 676132 / 1
LCM(172,3931) = 676132
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FAQs on GCF of Fractions of 5775/172, 8340/3931
1. What is the HCF of 5775,8340?
The HCF of 5775,8340 is 15
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 5775/172, 8340/3931?
Answer: GCF of Numerators as per given numbers 5775/172, 8340/3931 is
GCF of Numerators i.e. for 5775,8340 is 15
LCM of denominators i.e. for 172,3931 is 676132.
Thus, GCF of Fractions is 15/676132.Finally, GCF of Fractions for 5775/172, 8340/3931 is 15/676132.