GCF of 1131/475, 1751/2905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1131/475, 1751/2905 i.e 1/275975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1131/475, 1751/2905.
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 1131/475,1751/2905?
Given fractions are 1131/475,1751/2905
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 1131/475,1751/2905, numerators are 1131,1751
Denominators are 475,2905
The GCF of 1131,1751 is 1 .
LCM of 475,2905 is 275975.
The greatest common factor of 1131/475,1751/2905 = [GCF of 1131,1751]/[LCM of 475,2905]= 1/275975
Therefore, the GCF of 1131/475,1751/2905 is 1/275975.
To find the highest common factor of 1131,1751, we have to find the factors of both numbers and list the highest common factor.
The factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131
The factors of 1751 are 1, 17, 103, 1751
The HCF of 1131,1751 is 1.
Lets's calculate GCF of 1131,1751
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1131,1751 By Matching Biggest Common Factor Method
Now, list down the factors of 1131
:1,3,13,29,39,87,377,1131
Now, list down the factors of 1751
:1,17,103,1751
Greatest Common Factor
We found the factors 1131,1751 . The biggest common factor number is the GCF number.
So the greatest common factor 1131,1751 is 1.
Lets's calculate LCM of 475,2905
| 5 | 475, 2905 |
| 95, 581 |
∴ So the LCM of the given numbers is 5 x 95 x 581 = 275975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275975
Therefore, the GCF of Fractions 1131/475,1751/2905 is 1/275975
Least Common Multiple of 475,2905 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 475,2905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,2905) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(475,2905) x common factors =5 x 1 = 5
LCM(475,2905) = ( 475 × 2905 ) / 5
LCM(475,2905) = 1379875 / 5
LCM(475,2905) = 275975
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FAQs on GCF of Fractions of 1131/475, 1751/2905
1. What is the HCF of 1131,1751?
The HCF of 1131,1751 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 1131/475, 1751/2905?
Answer: GCF of Numerators as per given numbers 1131/475, 1751/2905 is
GCF of Numerators i.e. for 1131,1751 is 1
LCM of denominators i.e. for 475,2905 is 275975.
Thus, GCF of Fractions is 1/275975.Finally, GCF of Fractions for 1131/475, 1751/2905 is 1/275975.