GCF of 433/57, 305/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 433/57, 305/686 i.e 1/39102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/57, 305/686.
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 433/57,305/686?
Given fractions are 433/57,305/686
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 433/57,305/686, numerators are 433,305
Denominators are 57,686
The GCF of 433,305 is 1 .
LCM of 57,686 is 39102.
The greatest common factor of 433/57,305/686 = [GCF of 433,305]/[LCM of 57,686]= 1/39102
Therefore, the GCF of 433/57,305/686 is 1/39102.
To find the highest common factor of 433,305, we have to find the factors of both numbers and list the highest common factor.
The factors of 433 are 1, 433
The factors of 305 are 1, 5, 61, 305
The HCF of 433,305 is 1.
Lets's calculate GCF of 433,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 433,305 By Matching Biggest Common Factor Method
Now, list down the factors of 433
:1,433
Now, list down the factors of 305
:1,5,61,305
Greatest Common Factor
We found the factors 433,305 . The biggest common factor number is the GCF number.
So the greatest common factor 433,305 is 1.
Lets's calculate LCM of 57,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 39102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39102
Therefore, the GCF of Fractions 433/57,305/686 is 1/39102
Least Common Multiple of 57,686 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 57,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,686) x common factors =1 x 1 = 1
LCM(57,686) = ( 57 × 686 ) / 1
LCM(57,686) = 39102 / 1
LCM(57,686) = 39102
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 433/57, 305/686
1. What is the HCF of 433,305?
The HCF of 433,305 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 433/57, 305/686?
Answer: GCF of Numerators as per given numbers 433/57, 305/686 is
GCF of Numerators i.e. for 433,305 is 1
LCM of denominators i.e. for 57,686 is 39102.
Thus, GCF of Fractions is 1/39102.Finally, GCF of Fractions for 433/57, 305/686 is 1/39102.