GCF of 8263/509, 9351/3438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8263/509, 9351/3438 i.e 1/1749942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8263/509, 9351/3438.
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 8263/509,9351/3438?
Given fractions are 8263/509,9351/3438
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 8263/509,9351/3438, numerators are 8263,9351
Denominators are 509,3438
The GCF of 8263,9351 is 1 .
LCM of 509,3438 is 1749942.
The greatest common factor of 8263/509,9351/3438 = [GCF of 8263,9351]/[LCM of 509,3438]= 1/1749942
Therefore, the GCF of 8263/509,9351/3438 is 1/1749942.
To find the highest common factor of 8263,9351, we have to find the factors of both numbers and list the highest common factor.
The factors of 8263 are 1, 8263
The factors of 9351 are 1, 3, 9, 1039, 3117, 9351
The HCF of 8263,9351 is 1.
Lets's calculate GCF of 8263,9351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8263,9351 By Matching Biggest Common Factor Method
Now, list down the factors of 8263
:1,8263
Now, list down the factors of 9351
:1,3,9,1039,3117,9351
Greatest Common Factor
We found the factors 8263,9351 . The biggest common factor number is the GCF number.
So the greatest common factor 8263,9351 is 1.
Lets's calculate LCM of 509,3438
Given numbers has no common factors except 1. So, there LCM is their product i.e 1749942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1749942
Therefore, the GCF of Fractions 8263/509,9351/3438 is 1/1749942
Least Common Multiple of 509,3438 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 509,3438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,3438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,3438) x common factors =1 x 1 = 1
LCM(509,3438) = ( 509 × 3438 ) / 1
LCM(509,3438) = 1749942 / 1
LCM(509,3438) = 1749942
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FAQs on GCF of Fractions of 8263/509, 9351/3438
1. What is the HCF of 8263,9351?
The HCF of 8263,9351 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 8263/509, 9351/3438?
Answer: GCF of Numerators as per given numbers 8263/509, 9351/3438 is
GCF of Numerators i.e. for 8263,9351 is 1
LCM of denominators i.e. for 509,3438 is 1749942.
Thus, GCF of Fractions is 1/1749942.Finally, GCF of Fractions for 8263/509, 9351/3438 is 1/1749942.