GCF of 5032/114, 1434/2865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5032/114, 1434/2865 i.e 2/108870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5032/114, 1434/2865.
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 5032/114,1434/2865?
Given fractions are 5032/114,1434/2865
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 5032/114,1434/2865, numerators are 5032,1434
Denominators are 114,2865
The GCF of 5032,1434 is 2 .
LCM of 114,2865 is 108870.
The greatest common factor of 5032/114,1434/2865 = [GCF of 5032,1434]/[LCM of 114,2865]= 2/108870
Therefore, the GCF of 5032/114,1434/2865 is 2/108870.
To find the highest common factor of 5032,1434, we have to find the factors of both numbers and list the highest common factor.
The factors of 5032 are 1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032
The factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434
The HCF of 5032,1434 is 2.
Lets's calculate GCF of 5032,1434
| 2 | 5032, 1434 |
| 2516, 717 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5032,1434 By Matching Biggest Common Factor Method
Now, list down the factors of 5032
:1,2,4,8,17,34,37,68,74,136,148,296,629,1258,2516,5032
Now, list down the factors of 1434
:1,2,3,6,239,478,717,1434
Greatest Common Factor
We found the factors 5032,1434 . The biggest common factor number is the GCF number.
So the greatest common factor 5032,1434 is 2.
Lets's calculate LCM of 114,2865
| 3 | 114, 2865 |
| 38, 955 |
∴ So the LCM of the given numbers is 3 x 38 x 955 = 108870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108870
Therefore, the GCF of Fractions 5032/114,1434/2865 is 2/108870
Least Common Multiple of 114,2865 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 114,2865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,2865) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(114,2865) x common factors =3 x 1 = 3
LCM(114,2865) = ( 114 × 2865 ) / 3
LCM(114,2865) = 326610 / 3
LCM(114,2865) = 108870
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FAQs on GCF of Fractions of 5032/114, 1434/2865
1. What is the HCF of 5032,1434?
The HCF of 5032,1434 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 5032/114, 1434/2865?
Answer: GCF of Numerators as per given numbers 5032/114, 1434/2865 is
GCF of Numerators i.e. for 5032,1434 is 2
LCM of denominators i.e. for 114,2865 is 108870.
Thus, GCF of Fractions is 2/108870.Finally, GCF of Fractions for 5032/114, 1434/2865 is 2/108870.