GCF of 2071/540, 2871/4558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2071/540, 2871/4558 i.e 1/1230660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2071/540, 2871/4558.
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 2071/540,2871/4558?
Given fractions are 2071/540,2871/4558
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 2071/540,2871/4558, numerators are 2071,2871
Denominators are 540,4558
The GCF of 2071,2871 is 1 .
LCM of 540,4558 is 1230660.
The greatest common factor of 2071/540,2871/4558 = [GCF of 2071,2871]/[LCM of 540,4558]= 1/1230660
Therefore, the GCF of 2071/540,2871/4558 is 1/1230660.
To find the highest common factor of 2071,2871, we have to find the factors of both numbers and list the highest common factor.
The factors of 2071 are 1, 19, 109, 2071
The factors of 2871 are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871
The HCF of 2071,2871 is 1.
Lets's calculate GCF of 2071,2871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2071,2871 By Matching Biggest Common Factor Method
Now, list down the factors of 2071
:1,19,109,2071
Now, list down the factors of 2871
:1,3,9,11,29,33,87,99,261,319,957,2871
Greatest Common Factor
We found the factors 2071,2871 . The biggest common factor number is the GCF number.
So the greatest common factor 2071,2871 is 1.
Lets's calculate LCM of 540,4558
| 2 | 540, 4558 |
| 270, 2279 |
∴ So the LCM of the given numbers is 2 x 270 x 2279 = 1230660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1230660
Therefore, the GCF of Fractions 2071/540,2871/4558 is 1/1230660
Least Common Multiple of 540,4558 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 540,4558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,4558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(540,4558) x common factors =2 x 1 = 2
LCM(540,4558) = ( 540 × 4558 ) / 2
LCM(540,4558) = 2461320 / 2
LCM(540,4558) = 1230660
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FAQs on GCF of Fractions of 2071/540, 2871/4558
1. What is the HCF of 2071,2871?
The HCF of 2071,2871 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 2071/540, 2871/4558?
Answer: GCF of Numerators as per given numbers 2071/540, 2871/4558 is
GCF of Numerators i.e. for 2071,2871 is 1
LCM of denominators i.e. for 540,4558 is 1230660.
Thus, GCF of Fractions is 1/1230660.Finally, GCF of Fractions for 2071/540, 2871/4558 is 1/1230660.