GCF of 6278/594, 7193/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6278/594, 7193/269 i.e 1/159786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6278/594, 7193/269.
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 6278/594,7193/269?
Given fractions are 6278/594,7193/269
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 6278/594,7193/269, numerators are 6278,7193
Denominators are 594,269
The GCF of 6278,7193 is 1 .
LCM of 594,269 is 159786.
The greatest common factor of 6278/594,7193/269 = [GCF of 6278,7193]/[LCM of 594,269]= 1/159786
Therefore, the GCF of 6278/594,7193/269 is 1/159786.
To find the highest common factor of 6278,7193, we have to find the factors of both numbers and list the highest common factor.
The factors of 6278 are 1, 2, 43, 73, 86, 146, 3139, 6278
The factors of 7193 are 1, 7193
The HCF of 6278,7193 is 1.
Lets's calculate GCF of 6278,7193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6278,7193 By Matching Biggest Common Factor Method
Now, list down the factors of 6278
:1,2,43,73,86,146,3139,6278
Now, list down the factors of 7193
:1,7193
Greatest Common Factor
We found the factors 6278,7193 . The biggest common factor number is the GCF number.
So the greatest common factor 6278,7193 is 1.
Lets's calculate LCM of 594,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 159786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159786
Therefore, the GCF of Fractions 6278/594,7193/269 is 1/159786
Least Common Multiple of 594,269 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 594,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(594,269) x common factors =1 x 1 = 1
LCM(594,269) = ( 594 × 269 ) / 1
LCM(594,269) = 159786 / 1
LCM(594,269) = 159786
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FAQs on GCF of Fractions of 6278/594, 7193/269
1. What is the HCF of 6278,7193?
The HCF of 6278,7193 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 6278/594, 7193/269?
Answer: GCF of Numerators as per given numbers 6278/594, 7193/269 is
GCF of Numerators i.e. for 6278,7193 is 1
LCM of denominators i.e. for 594,269 is 159786.
Thus, GCF of Fractions is 1/159786.Finally, GCF of Fractions for 6278/594, 7193/269 is 1/159786.