GCF of 1271/538, 5790/2096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1271/538, 5790/2096 i.e 1/563824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1271/538, 5790/2096.
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 1271/538,5790/2096?
Given fractions are 1271/538,5790/2096
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 1271/538,5790/2096, numerators are 1271,5790
Denominators are 538,2096
The GCF of 1271,5790 is 1 .
LCM of 538,2096 is 563824.
The greatest common factor of 1271/538,5790/2096 = [GCF of 1271,5790]/[LCM of 538,2096]= 1/563824
Therefore, the GCF of 1271/538,5790/2096 is 1/563824.
To find the highest common factor of 1271,5790, we have to find the factors of both numbers and list the highest common factor.
The factors of 1271 are 1, 31, 41, 1271
The factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790
The HCF of 1271,5790 is 1.
Lets's calculate GCF of 1271,5790
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1271,5790 By Matching Biggest Common Factor Method
Now, list down the factors of 1271
:1,31,41,1271
Now, list down the factors of 5790
:1,2,3,5,6,10,15,30,193,386,579,965,1158,1930,2895,5790
Greatest Common Factor
We found the factors 1271,5790 . The biggest common factor number is the GCF number.
So the greatest common factor 1271,5790 is 1.
Lets's calculate LCM of 538,2096
| 2 | 538, 2096 |
| 269, 1048 |
∴ So the LCM of the given numbers is 2 x 269 x 1048 = 563824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563824
Therefore, the GCF of Fractions 1271/538,5790/2096 is 1/563824
Least Common Multiple of 538,2096 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 538,2096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,2096) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,2096) x common factors =2 x 1 = 2
LCM(538,2096) = ( 538 × 2096 ) / 2
LCM(538,2096) = 1127648 / 2
LCM(538,2096) = 563824
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FAQs on GCF of Fractions of 1271/538, 5790/2096
1. What is the HCF of 1271,5790?
The HCF of 1271,5790 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 1271/538, 5790/2096?
Answer: GCF of Numerators as per given numbers 1271/538, 5790/2096 is
GCF of Numerators i.e. for 1271,5790 is 1
LCM of denominators i.e. for 538,2096 is 563824.
Thus, GCF of Fractions is 1/563824.Finally, GCF of Fractions for 1271/538, 5790/2096 is 1/563824.