GCF of 1928/548, 2471/265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1928/548, 2471/265 i.e 1/145220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1928/548, 2471/265.
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 1928/548,2471/265?
Given fractions are 1928/548,2471/265
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 1928/548,2471/265, numerators are 1928,2471
Denominators are 548,265
The GCF of 1928,2471 is 1 .
LCM of 548,265 is 145220.
The greatest common factor of 1928/548,2471/265 = [GCF of 1928,2471]/[LCM of 548,265]= 1/145220
Therefore, the GCF of 1928/548,2471/265 is 1/145220.
To find the highest common factor of 1928,2471, we have to find the factors of both numbers and list the highest common factor.
The factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928
The factors of 2471 are 1, 7, 353, 2471
The HCF of 1928,2471 is 1.
Lets's calculate GCF of 1928,2471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1928,2471 By Matching Biggest Common Factor Method
Now, list down the factors of 1928
:1,2,4,8,241,482,964,1928
Now, list down the factors of 2471
:1,7,353,2471
Greatest Common Factor
We found the factors 1928,2471 . The biggest common factor number is the GCF number.
So the greatest common factor 1928,2471 is 1.
Lets's calculate LCM of 548,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 145220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145220
Therefore, the GCF of Fractions 1928/548,2471/265 is 1/145220
Least Common Multiple of 548,265 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 548,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,265) x common factors =1 x 1 = 1
LCM(548,265) = ( 548 × 265 ) / 1
LCM(548,265) = 145220 / 1
LCM(548,265) = 145220
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FAQs on GCF of Fractions of 1928/548, 2471/265
1. What is the HCF of 1928,2471?
The HCF of 1928,2471 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 1928/548, 2471/265?
Answer: GCF of Numerators as per given numbers 1928/548, 2471/265 is
GCF of Numerators i.e. for 1928,2471 is 1
LCM of denominators i.e. for 548,265 is 145220.
Thus, GCF of Fractions is 1/145220.Finally, GCF of Fractions for 1928/548, 2471/265 is 1/145220.