GCF of 472/414, 369/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 472/414, 369/413 i.e 1/170982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/414, 369/413.
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 472/414,369/413?
Given fractions are 472/414,369/413
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 472/414,369/413, numerators are 472,369
Denominators are 414,413
The GCF of 472,369 is 1 .
LCM of 414,413 is 170982.
The greatest common factor of 472/414,369/413 = [GCF of 472,369]/[LCM of 414,413]= 1/170982
Therefore, the GCF of 472/414,369/413 is 1/170982.
To find the highest common factor of 472,369, we have to find the factors of both numbers and list the highest common factor.
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 369 are 1, 3, 9, 41, 123, 369
The HCF of 472,369 is 1.
Lets's calculate GCF of 472,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 472,369 By Matching Biggest Common Factor Method
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 369
:1,3,9,41,123,369
Greatest Common Factor
We found the factors 472,369 . The biggest common factor number is the GCF number.
So the greatest common factor 472,369 is 1.
Lets's calculate LCM of 414,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 170982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170982
Therefore, the GCF of Fractions 472/414,369/413 is 1/170982
Least Common Multiple of 414,413 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 414,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,413) x common factors =1 x 1 = 1
LCM(414,413) = ( 414 × 413 ) / 1
LCM(414,413) = 170982 / 1
LCM(414,413) = 170982
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 472/414, 369/413
1. What is the HCF of 472,369?
The HCF of 472,369 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 472/414, 369/413?
Answer: GCF of Numerators as per given numbers 472/414, 369/413 is
GCF of Numerators i.e. for 472,369 is 1
LCM of denominators i.e. for 414,413 is 170982.
Thus, GCF of Fractions is 1/170982.Finally, GCF of Fractions for 472/414, 369/413 is 1/170982.