GCF of 6317/457, 1409/1703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6317/457, 1409/1703 i.e 1/778271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6317/457, 1409/1703.
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 6317/457,1409/1703?
Given fractions are 6317/457,1409/1703
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 6317/457,1409/1703, numerators are 6317,1409
Denominators are 457,1703
The GCF of 6317,1409 is 1 .
LCM of 457,1703 is 778271.
The greatest common factor of 6317/457,1409/1703 = [GCF of 6317,1409]/[LCM of 457,1703]= 1/778271
Therefore, the GCF of 6317/457,1409/1703 is 1/778271.
To find the highest common factor of 6317,1409, we have to find the factors of both numbers and list the highest common factor.
The factors of 6317 are 1, 6317
The factors of 1409 are 1, 1409
The HCF of 6317,1409 is 1.
Lets's calculate GCF of 6317,1409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6317,1409 By Matching Biggest Common Factor Method
Now, list down the factors of 6317
:1,6317
Now, list down the factors of 1409
:1,1409
Greatest Common Factor
We found the factors 6317,1409 . The biggest common factor number is the GCF number.
So the greatest common factor 6317,1409 is 1.
Lets's calculate LCM of 457,1703
Given numbers has no common factors except 1. So, there LCM is their product i.e 778271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/778271
Therefore, the GCF of Fractions 6317/457,1409/1703 is 1/778271
Least Common Multiple of 457,1703 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 457,1703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,1703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,1703) x common factors =1 x 1 = 1
LCM(457,1703) = ( 457 × 1703 ) / 1
LCM(457,1703) = 778271 / 1
LCM(457,1703) = 778271
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FAQs on GCF of Fractions of 6317/457, 1409/1703
1. What is the HCF of 6317,1409?
The HCF of 6317,1409 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 6317/457, 1409/1703?
Answer: GCF of Numerators as per given numbers 6317/457, 1409/1703 is
GCF of Numerators i.e. for 6317,1409 is 1
LCM of denominators i.e. for 457,1703 is 778271.
Thus, GCF of Fractions is 1/778271.Finally, GCF of Fractions for 6317/457, 1409/1703 is 1/778271.