GCF of 5141/217, 7148/478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5141/217, 7148/478 i.e 1/103726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5141/217, 7148/478.
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 5141/217,7148/478?
Given fractions are 5141/217,7148/478
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 5141/217,7148/478, numerators are 5141,7148
Denominators are 217,478
The GCF of 5141,7148 is 1 .
LCM of 217,478 is 103726.
The greatest common factor of 5141/217,7148/478 = [GCF of 5141,7148]/[LCM of 217,478]= 1/103726
Therefore, the GCF of 5141/217,7148/478 is 1/103726.
To find the highest common factor of 5141,7148, we have to find the factors of both numbers and list the highest common factor.
The factors of 5141 are 1, 53, 97, 5141
The factors of 7148 are 1, 2, 4, 1787, 3574, 7148
The HCF of 5141,7148 is 1.
Lets's calculate GCF of 5141,7148
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5141,7148 By Matching Biggest Common Factor Method
Now, list down the factors of 5141
:1,53,97,5141
Now, list down the factors of 7148
:1,2,4,1787,3574,7148
Greatest Common Factor
We found the factors 5141,7148 . The biggest common factor number is the GCF number.
So the greatest common factor 5141,7148 is 1.
Lets's calculate LCM of 217,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 103726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103726
Therefore, the GCF of Fractions 5141/217,7148/478 is 1/103726
Least Common Multiple of 217,478 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 217,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,478) x common factors =1 x 1 = 1
LCM(217,478) = ( 217 × 478 ) / 1
LCM(217,478) = 103726 / 1
LCM(217,478) = 103726
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FAQs on GCF of Fractions of 5141/217, 7148/478
1. What is the HCF of 5141,7148?
The HCF of 5141,7148 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 5141/217, 7148/478?
Answer: GCF of Numerators as per given numbers 5141/217, 7148/478 is
GCF of Numerators i.e. for 5141,7148 is 1
LCM of denominators i.e. for 217,478 is 103726.
Thus, GCF of Fractions is 1/103726.Finally, GCF of Fractions for 5141/217, 7148/478 is 1/103726.