GCF of 6389/994, 4175/6831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6389/994, 4175/6831 i.e 1/6790014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6389/994, 4175/6831.
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 6389/994,4175/6831?
Given fractions are 6389/994,4175/6831
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 6389/994,4175/6831, numerators are 6389,4175
Denominators are 994,6831
The GCF of 6389,4175 is 1 .
LCM of 994,6831 is 6790014.
The greatest common factor of 6389/994,4175/6831 = [GCF of 6389,4175]/[LCM of 994,6831]= 1/6790014
Therefore, the GCF of 6389/994,4175/6831 is 1/6790014.
To find the highest common factor of 6389,4175, we have to find the factors of both numbers and list the highest common factor.
The factors of 6389 are 1, 6389
The factors of 4175 are 1, 5, 25, 167, 835, 4175
The HCF of 6389,4175 is 1.
Lets's calculate GCF of 6389,4175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6389,4175 By Matching Biggest Common Factor Method
Now, list down the factors of 6389
:1,6389
Now, list down the factors of 4175
:1,5,25,167,835,4175
Greatest Common Factor
We found the factors 6389,4175 . The biggest common factor number is the GCF number.
So the greatest common factor 6389,4175 is 1.
Lets's calculate LCM of 994,6831
Given numbers has no common factors except 1. So, there LCM is their product i.e 6790014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6790014
Therefore, the GCF of Fractions 6389/994,4175/6831 is 1/6790014
Least Common Multiple of 994,6831 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 994,6831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,6831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,6831) x common factors =1 x 1 = 1
LCM(994,6831) = ( 994 × 6831 ) / 1
LCM(994,6831) = 6790014 / 1
LCM(994,6831) = 6790014
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FAQs on GCF of Fractions of 6389/994, 4175/6831
1. What is the HCF of 6389,4175?
The HCF of 6389,4175 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 6389/994, 4175/6831?
Answer: GCF of Numerators as per given numbers 6389/994, 4175/6831 is
GCF of Numerators i.e. for 6389,4175 is 1
LCM of denominators i.e. for 994,6831 is 6790014.
Thus, GCF of Fractions is 1/6790014.Finally, GCF of Fractions for 6389/994, 4175/6831 is 1/6790014.