GCF of 4079/242, 1815/1758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4079/242, 1815/1758 i.e 1/212718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4079/242, 1815/1758.
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 4079/242,1815/1758?
Given fractions are 4079/242,1815/1758
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 4079/242,1815/1758, numerators are 4079,1815
Denominators are 242,1758
The GCF of 4079,1815 is 1 .
LCM of 242,1758 is 212718.
The greatest common factor of 4079/242,1815/1758 = [GCF of 4079,1815]/[LCM of 242,1758]= 1/212718
Therefore, the GCF of 4079/242,1815/1758 is 1/212718.
To find the highest common factor of 4079,1815, we have to find the factors of both numbers and list the highest common factor.
The factors of 4079 are 1, 4079
The factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815
The HCF of 4079,1815 is 1.
Lets's calculate GCF of 4079,1815
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4079,1815 By Matching Biggest Common Factor Method
Now, list down the factors of 4079
:1,4079
Now, list down the factors of 1815
:1,3,5,11,15,33,55,121,165,363,605,1815
Greatest Common Factor
We found the factors 4079,1815 . The biggest common factor number is the GCF number.
So the greatest common factor 4079,1815 is 1.
Lets's calculate LCM of 242,1758
| 2 | 242, 1758 |
| 121, 879 |
∴ So the LCM of the given numbers is 2 x 121 x 879 = 212718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212718
Therefore, the GCF of Fractions 4079/242,1815/1758 is 1/212718
Least Common Multiple of 242,1758 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 242,1758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,1758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,1758) x common factors =2 x 1 = 2
LCM(242,1758) = ( 242 × 1758 ) / 2
LCM(242,1758) = 425436 / 2
LCM(242,1758) = 212718
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FAQs on GCF of Fractions of 4079/242, 1815/1758
1. What is the HCF of 4079,1815?
The HCF of 4079,1815 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 4079/242, 1815/1758?
Answer: GCF of Numerators as per given numbers 4079/242, 1815/1758 is
GCF of Numerators i.e. for 4079,1815 is 1
LCM of denominators i.e. for 242,1758 is 212718.
Thus, GCF of Fractions is 1/212718.Finally, GCF of Fractions for 4079/242, 1815/1758 is 1/212718.