GCF of 8345/431, 9467/1931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8345/431, 9467/1931 i.e 1/832261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8345/431, 9467/1931.
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 8345/431,9467/1931?
Given fractions are 8345/431,9467/1931
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 8345/431,9467/1931, numerators are 8345,9467
Denominators are 431,1931
The GCF of 8345,9467 is 1 .
LCM of 431,1931 is 832261.
The greatest common factor of 8345/431,9467/1931 = [GCF of 8345,9467]/[LCM of 431,1931]= 1/832261
Therefore, the GCF of 8345/431,9467/1931 is 1/832261.
To find the highest common factor of 8345,9467, we have to find the factors of both numbers and list the highest common factor.
The factors of 8345 are 1, 5, 1669, 8345
The factors of 9467 are 1, 9467
The HCF of 8345,9467 is 1.
Lets's calculate GCF of 8345,9467
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8345,9467 By Matching Biggest Common Factor Method
Now, list down the factors of 8345
:1,5,1669,8345
Now, list down the factors of 9467
:1,9467
Greatest Common Factor
We found the factors 8345,9467 . The biggest common factor number is the GCF number.
So the greatest common factor 8345,9467 is 1.
Lets's calculate LCM of 431,1931
Given numbers has no common factors except 1. So, there LCM is their product i.e 832261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832261
Therefore, the GCF of Fractions 8345/431,9467/1931 is 1/832261
Least Common Multiple of 431,1931 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 431,1931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,1931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,1931) x common factors =1 x 1 = 1
LCM(431,1931) = ( 431 × 1931 ) / 1
LCM(431,1931) = 832261 / 1
LCM(431,1931) = 832261
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FAQs on GCF of Fractions of 8345/431, 9467/1931
1. What is the HCF of 8345,9467?
The HCF of 8345,9467 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 8345/431, 9467/1931?
Answer: GCF of Numerators as per given numbers 8345/431, 9467/1931 is
GCF of Numerators i.e. for 8345,9467 is 1
LCM of denominators i.e. for 431,1931 is 832261.
Thus, GCF of Fractions is 1/832261.Finally, GCF of Fractions for 8345/431, 9467/1931 is 1/832261.