GCF of 5942/260, 5486/7234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5942/260, 5486/7234 i.e 2/940420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5942/260, 5486/7234.
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 5942/260,5486/7234?
Given fractions are 5942/260,5486/7234
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 5942/260,5486/7234, numerators are 5942,5486
Denominators are 260,7234
The GCF of 5942,5486 is 2 .
LCM of 260,7234 is 940420.
The greatest common factor of 5942/260,5486/7234 = [GCF of 5942,5486]/[LCM of 260,7234]= 2/940420
Therefore, the GCF of 5942/260,5486/7234 is 2/940420.
To find the highest common factor of 5942,5486, 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 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486
The HCF of 5942,5486 is 2.
Lets's calculate GCF of 5942,5486
| 2 | 5942, 5486 |
| 2971, 2743 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5942,5486 By Matching Biggest Common Factor Method
Now, list down the factors of 5942
:1,2,2971,5942
Now, list down the factors of 5486
:1,2,13,26,211,422,2743,5486
Greatest Common Factor
We found the factors 5942,5486 . The biggest common factor number is the GCF number.
So the greatest common factor 5942,5486 is 2.
Lets's calculate LCM of 260,7234
| 2 | 260, 7234 |
| 130, 3617 |
∴ So the LCM of the given numbers is 2 x 130 x 3617 = 940420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/940420
Therefore, the GCF of Fractions 5942/260,5486/7234 is 2/940420
Least Common Multiple of 260,7234 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 260,7234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,7234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,7234) x common factors =2 x 1 = 2
LCM(260,7234) = ( 260 × 7234 ) / 2
LCM(260,7234) = 1880840 / 2
LCM(260,7234) = 940420
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FAQs on GCF of Fractions of 5942/260, 5486/7234
1. What is the HCF of 5942,5486?
The HCF of 5942,5486 is 2
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 5942/260, 5486/7234?
Answer: GCF of Numerators as per given numbers 5942/260, 5486/7234 is
GCF of Numerators i.e. for 5942,5486 is 2
LCM of denominators i.e. for 260,7234 is 940420.
Thus, GCF of Fractions is 2/940420.Finally, GCF of Fractions for 5942/260, 5486/7234 is 2/940420.