GCF of 7158/738, 5161/4258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7158/738, 5161/4258 i.e 1/1571202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7158/738, 5161/4258.
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 7158/738,5161/4258?
Given fractions are 7158/738,5161/4258
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 7158/738,5161/4258, numerators are 7158,5161
Denominators are 738,4258
The GCF of 7158,5161 is 1 .
LCM of 738,4258 is 1571202.
The greatest common factor of 7158/738,5161/4258 = [GCF of 7158,5161]/[LCM of 738,4258]= 1/1571202
Therefore, the GCF of 7158/738,5161/4258 is 1/1571202.
To find the highest common factor of 7158,5161, we have to find the factors of both numbers and list the highest common factor.
The factors of 7158 are 1, 2, 3, 6, 1193, 2386, 3579, 7158
The factors of 5161 are 1, 13, 397, 5161
The HCF of 7158,5161 is 1.
Lets's calculate GCF of 7158,5161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7158,5161 By Matching Biggest Common Factor Method
Now, list down the factors of 7158
:1,2,3,6,1193,2386,3579,7158
Now, list down the factors of 5161
:1,13,397,5161
Greatest Common Factor
We found the factors 7158,5161 . The biggest common factor number is the GCF number.
So the greatest common factor 7158,5161 is 1.
Lets's calculate LCM of 738,4258
| 2 | 738, 4258 |
| 369, 2129 |
∴ So the LCM of the given numbers is 2 x 369 x 2129 = 1571202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1571202
Therefore, the GCF of Fractions 7158/738,5161/4258 is 1/1571202
Least Common Multiple of 738,4258 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 738,4258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,4258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,4258) x common factors =2 x 1 = 2
LCM(738,4258) = ( 738 × 4258 ) / 2
LCM(738,4258) = 3142404 / 2
LCM(738,4258) = 1571202
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FAQs on GCF of Fractions of 7158/738, 5161/4258
1. What is the HCF of 7158,5161?
The HCF of 7158,5161 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 7158/738, 5161/4258?
Answer: GCF of Numerators as per given numbers 7158/738, 5161/4258 is
GCF of Numerators i.e. for 7158,5161 is 1
LCM of denominators i.e. for 738,4258 is 1571202.
Thus, GCF of Fractions is 1/1571202.Finally, GCF of Fractions for 7158/738, 5161/4258 is 1/1571202.