GCF of 741/843, 470/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 741/843, 470/458 i.e 1/386094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/843, 470/458.
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 741/843,470/458?
Given fractions are 741/843,470/458
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 741/843,470/458, numerators are 741,470
Denominators are 843,458
The GCF of 741,470 is 1 .
LCM of 843,458 is 386094.
The greatest common factor of 741/843,470/458 = [GCF of 741,470]/[LCM of 843,458]= 1/386094
Therefore, the GCF of 741/843,470/458 is 1/386094.
To find the highest common factor of 741,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 741,470 is 1.
Lets's calculate GCF of 741,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 741,470 By Matching Biggest Common Factor Method
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 741,470 . The biggest common factor number is the GCF number.
So the greatest common factor 741,470 is 1.
Lets's calculate LCM of 843,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 386094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386094
Therefore, the GCF of Fractions 741/843,470/458 is 1/386094
Least Common Multiple of 843,458 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 843,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,458) x common factors =1 x 1 = 1
LCM(843,458) = ( 843 × 458 ) / 1
LCM(843,458) = 386094 / 1
LCM(843,458) = 386094
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FAQs on GCF of Fractions of 741/843, 470/458
1. What is the HCF of 741,470?
The HCF of 741,470 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 741/843, 470/458?
Answer: GCF of Numerators as per given numbers 741/843, 470/458 is
GCF of Numerators i.e. for 741,470 is 1
LCM of denominators i.e. for 843,458 is 386094.
Thus, GCF of Fractions is 1/386094.Finally, GCF of Fractions for 741/843, 470/458 is 1/386094.