GCF of 292/409, 548/184, 475/403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 292/409, 548/184, 475/403 i.e 1/30328168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 292/409, 548/184, 475/403.
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 292/409,548/184,475/403?
Given fractions are 292/409,548/184,475/403
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 292/409,548/184,475/403, numerators are 292,548,475
Denominators are 409,184,403
The GCF of 292,548,475 is 1 .
LCM of 409,184,403 is 30328168.
The greatest common factor of 292/409,548/184,475/403 = [GCF of 292,548,475]/[LCM of 409,184,403]= 1/30328168
Therefore, the GCF of 292/409,548/184,475/403 is 1/30328168.
To find the highest common factor of 292,548,475, we have to find the factors of both numbers and list the highest common factor.
The factors of 292 are 1, 2, 4, 73, 146, 292
The factors of 548 are 1, 2, 4, 137, 274, 548
The factors of 475 are 1, 5, 19, 25, 95, 475
The HCF of 292,548,475 is 1.
Lets's calculate GCF of 292,548,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 292,548,475 By Matching Biggest Common Factor Method
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 548
:1,2,4,137,274,548
Now, list down the factors of 475
:1,5,19,25,95,475
Greatest Common Factor
We found the factors 292,548,475 . The biggest common factor number is the GCF number.
So the greatest common factor 292,548,475 is 1.
Lets's calculate LCM of 409,184,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 30328168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30328168
Therefore, the GCF of Fractions 292/409,548/184,475/403 is 1/30328168
Least Common Multiple of 409,184,403 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 409,184,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,184,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,184,403) x common factors =1 x 1 = 1
LCM(409,184,403) = ( 409 × 184 × 403 ) / 1
LCM(409,184,403) = 30328168 / 1
LCM(409,184,403) = 30328168
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 292/409, 548/184, 475/403
1. What is the HCF of 292,548,475?
The HCF of 292,548,475 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 292/409, 548/184, 475/403?
Answer: GCF of Numerators as per given numbers 292/409, 548/184, 475/403 is
GCF of Numerators i.e. for 292,548,475 is 1
LCM of denominators i.e. for 409,184,403 is 30328168.
Thus, GCF of Fractions is 1/30328168.Finally, GCF of Fractions for 292/409, 548/184, 475/403 is 1/30328168.