GCF of 1311/125, 3705/7105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1311/125, 3705/7105 i.e 57/177625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1311/125, 3705/7105.
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 1311/125,3705/7105?
Given fractions are 1311/125,3705/7105
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 1311/125,3705/7105, numerators are 1311,3705
Denominators are 125,7105
The GCF of 1311,3705 is 57 .
LCM of 125,7105 is 177625.
The greatest common factor of 1311/125,3705/7105 = [GCF of 1311,3705]/[LCM of 125,7105]= 57/177625
Therefore, the GCF of 1311/125,3705/7105 is 57/177625.
To find the highest common factor of 1311,3705, we have to find the factors of both numbers and list the highest common factor.
The factors of 1311 are 1, 3, 19, 23, 57, 69, 437, 1311
The factors of 3705 are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705
The HCF of 1311,3705 is 57.
Lets's calculate GCF of 1311,3705
| 3 | 1311, 3705 |
| 19 | 437, 1235 |
| 23, 65 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 1311,3705 By Matching Biggest Common Factor Method
Now, list down the factors of 1311
:1,3,19,23,57,69,437,1311
Now, list down the factors of 3705
:1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705
Greatest Common Factor
We found the factors 1311,3705 . The biggest common factor number is the GCF number.
So the greatest common factor 1311,3705 is 57.
Lets's calculate LCM of 125,7105
| 5 | 125, 7105 |
| 25, 1421 |
∴ So the LCM of the given numbers is 5 x 25 x 1421 = 177625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/177625
Therefore, the GCF of Fractions 1311/125,3705/7105 is 57/177625
Least Common Multiple of 125,7105 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 125,7105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,7105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(125,7105) x common factors =5 x 1 = 5
LCM(125,7105) = ( 125 × 7105 ) / 5
LCM(125,7105) = 888125 / 5
LCM(125,7105) = 177625
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FAQs on GCF of Fractions of 1311/125, 3705/7105
1. What is the HCF of 1311,3705?
The HCF of 1311,3705 is 57
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 1311/125, 3705/7105?
Answer: GCF of Numerators as per given numbers 1311/125, 3705/7105 is
GCF of Numerators i.e. for 1311,3705 is 57
LCM of denominators i.e. for 125,7105 is 177625.
Thus, GCF of Fractions is 57/177625.Finally, GCF of Fractions for 1311/125, 3705/7105 is 57/177625.