GCF of 1459/470, 2701/1656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1459/470, 2701/1656 i.e 1/389160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1459/470, 2701/1656.
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 1459/470,2701/1656?
Given fractions are 1459/470,2701/1656
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 1459/470,2701/1656, numerators are 1459,2701
Denominators are 470,1656
The GCF of 1459,2701 is 1 .
LCM of 470,1656 is 389160.
The greatest common factor of 1459/470,2701/1656 = [GCF of 1459,2701]/[LCM of 470,1656]= 1/389160
Therefore, the GCF of 1459/470,2701/1656 is 1/389160.
To find the highest common factor of 1459,2701, we have to find the factors of both numbers and list the highest common factor.
The factors of 1459 are 1, 1459
The factors of 2701 are 1, 37, 73, 2701
The HCF of 1459,2701 is 1.
Lets's calculate GCF of 1459,2701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1459,2701 By Matching Biggest Common Factor Method
Now, list down the factors of 1459
:1,1459
Now, list down the factors of 2701
:1,37,73,2701
Greatest Common Factor
We found the factors 1459,2701 . The biggest common factor number is the GCF number.
So the greatest common factor 1459,2701 is 1.
Lets's calculate LCM of 470,1656
| 2 | 470, 1656 |
| 235, 828 |
∴ So the LCM of the given numbers is 2 x 235 x 828 = 389160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389160
Therefore, the GCF of Fractions 1459/470,2701/1656 is 1/389160
Least Common Multiple of 470,1656 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 470,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,1656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,1656) x common factors =2 x 1 = 2
LCM(470,1656) = ( 470 × 1656 ) / 2
LCM(470,1656) = 778320 / 2
LCM(470,1656) = 389160
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FAQs on GCF of Fractions of 1459/470, 2701/1656
1. What is the HCF of 1459,2701?
The HCF of 1459,2701 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 1459/470, 2701/1656?
Answer: GCF of Numerators as per given numbers 1459/470, 2701/1656 is
GCF of Numerators i.e. for 1459,2701 is 1
LCM of denominators i.e. for 470,1656 is 389160.
Thus, GCF of Fractions is 1/389160.Finally, GCF of Fractions for 1459/470, 2701/1656 is 1/389160.