GCF of 2041/548, 2475/7337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2041/548, 2475/7337 i.e 1/4020676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2041/548, 2475/7337.
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 2041/548,2475/7337?
Given fractions are 2041/548,2475/7337
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 2041/548,2475/7337, numerators are 2041,2475
Denominators are 548,7337
The GCF of 2041,2475 is 1 .
LCM of 548,7337 is 4020676.
The greatest common factor of 2041/548,2475/7337 = [GCF of 2041,2475]/[LCM of 548,7337]= 1/4020676
Therefore, the GCF of 2041/548,2475/7337 is 1/4020676.
To find the highest common factor of 2041,2475, we have to find the factors of both numbers and list the highest common factor.
The factors of 2041 are 1, 13, 157, 2041
The factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475
The HCF of 2041,2475 is 1.
Lets's calculate GCF of 2041,2475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2041,2475 By Matching Biggest Common Factor Method
Now, list down the factors of 2041
:1,13,157,2041
Now, list down the factors of 2475
:1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475
Greatest Common Factor
We found the factors 2041,2475 . The biggest common factor number is the GCF number.
So the greatest common factor 2041,2475 is 1.
Lets's calculate LCM of 548,7337
Given numbers has no common factors except 1. So, there LCM is their product i.e 4020676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4020676
Therefore, the GCF of Fractions 2041/548,2475/7337 is 1/4020676
Least Common Multiple of 548,7337 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 548,7337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,7337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,7337) x common factors =1 x 1 = 1
LCM(548,7337) = ( 548 × 7337 ) / 1
LCM(548,7337) = 4020676 / 1
LCM(548,7337) = 4020676
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FAQs on GCF of Fractions of 2041/548, 2475/7337
1. What is the HCF of 2041,2475?
The HCF of 2041,2475 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 2041/548, 2475/7337?
Answer: GCF of Numerators as per given numbers 2041/548, 2475/7337 is
GCF of Numerators i.e. for 2041,2475 is 1
LCM of denominators i.e. for 548,7337 is 4020676.
Thus, GCF of Fractions is 1/4020676.Finally, GCF of Fractions for 2041/548, 2475/7337 is 1/4020676.