GCF of 5740/235, 4614/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5740/235, 4614/976 i.e 2/229360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5740/235, 4614/976.
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 5740/235,4614/976?
Given fractions are 5740/235,4614/976
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 5740/235,4614/976, numerators are 5740,4614
Denominators are 235,976
The GCF of 5740,4614 is 2 .
LCM of 235,976 is 229360.
The greatest common factor of 5740/235,4614/976 = [GCF of 5740,4614]/[LCM of 235,976]= 2/229360
Therefore, the GCF of 5740/235,4614/976 is 2/229360.
To find the highest common factor of 5740,4614, we have to find the factors of both numbers and list the highest common factor.
The factors of 5740 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740
The factors of 4614 are 1, 2, 3, 6, 769, 1538, 2307, 4614
The HCF of 5740,4614 is 2.
Lets's calculate GCF of 5740,4614
| 2 | 5740, 4614 |
| 2870, 2307 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5740,4614 By Matching Biggest Common Factor Method
Now, list down the factors of 5740
:1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740
Now, list down the factors of 4614
:1,2,3,6,769,1538,2307,4614
Greatest Common Factor
We found the factors 5740,4614 . The biggest common factor number is the GCF number.
So the greatest common factor 5740,4614 is 2.
Lets's calculate LCM of 235,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 229360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/229360
Therefore, the GCF of Fractions 5740/235,4614/976 is 2/229360
Least Common Multiple of 235,976 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 235,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,976) x common factors =1 x 1 = 1
LCM(235,976) = ( 235 × 976 ) / 1
LCM(235,976) = 229360 / 1
LCM(235,976) = 229360
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FAQs on GCF of Fractions of 5740/235, 4614/976
1. What is the HCF of 5740,4614?
The HCF of 5740,4614 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 5740/235, 4614/976?
Answer: GCF of Numerators as per given numbers 5740/235, 4614/976 is
GCF of Numerators i.e. for 5740,4614 is 2
LCM of denominators i.e. for 235,976 is 229360.
Thus, GCF of Fractions is 2/229360.Finally, GCF of Fractions for 5740/235, 4614/976 is 2/229360.