GCF of 5942/280, 2739/1618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5942/280, 2739/1618 i.e 1/226520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5942/280, 2739/1618.
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 5942/280,2739/1618?
Given fractions are 5942/280,2739/1618
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 5942/280,2739/1618, numerators are 5942,2739
Denominators are 280,1618
The GCF of 5942,2739 is 1 .
LCM of 280,1618 is 226520.
The greatest common factor of 5942/280,2739/1618 = [GCF of 5942,2739]/[LCM of 280,1618]= 1/226520
Therefore, the GCF of 5942/280,2739/1618 is 1/226520.
To find the highest common factor of 5942,2739, we have to find the factors of both numbers and list the highest common factor.
The factors of 5942 are 1, 2, 2971, 5942
The factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739
The HCF of 5942,2739 is 1.
Lets's calculate GCF of 5942,2739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5942,2739 By Matching Biggest Common Factor Method
Now, list down the factors of 5942
:1,2,2971,5942
Now, list down the factors of 2739
:1,3,11,33,83,249,913,2739
Greatest Common Factor
We found the factors 5942,2739 . The biggest common factor number is the GCF number.
So the greatest common factor 5942,2739 is 1.
Lets's calculate LCM of 280,1618
| 2 | 280, 1618 |
| 140, 809 |
∴ So the LCM of the given numbers is 2 x 140 x 809 = 226520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226520
Therefore, the GCF of Fractions 5942/280,2739/1618 is 1/226520
Least Common Multiple of 280,1618 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 280,1618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,1618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(280,1618) x common factors =2 x 1 = 2
LCM(280,1618) = ( 280 × 1618 ) / 2
LCM(280,1618) = 453040 / 2
LCM(280,1618) = 226520
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FAQs on GCF of Fractions of 5942/280, 2739/1618
1. What is the HCF of 5942,2739?
The HCF of 5942,2739 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 5942/280, 2739/1618?
Answer: GCF of Numerators as per given numbers 5942/280, 2739/1618 is
GCF of Numerators i.e. for 5942,2739 is 1
LCM of denominators i.e. for 280,1618 is 226520.
Thus, GCF of Fractions is 1/226520.Finally, GCF of Fractions for 5942/280, 2739/1618 is 1/226520.