GCF of 5731/519, 8814/8257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5731/519, 8814/8257 i.e 1/4285383 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5731/519, 8814/8257.
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 5731/519,8814/8257?
Given fractions are 5731/519,8814/8257
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 5731/519,8814/8257, numerators are 5731,8814
Denominators are 519,8257
The GCF of 5731,8814 is 1 .
LCM of 519,8257 is 4285383.
The greatest common factor of 5731/519,8814/8257 = [GCF of 5731,8814]/[LCM of 519,8257]= 1/4285383
Therefore, the GCF of 5731/519,8814/8257 is 1/4285383.
To find the highest common factor of 5731,8814, we have to find the factors of both numbers and list the highest common factor.
The factors of 5731 are 1, 11, 521, 5731
The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814
The HCF of 5731,8814 is 1.
Lets's calculate GCF of 5731,8814
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5731,8814 By Matching Biggest Common Factor Method
Now, list down the factors of 5731
:1,11,521,5731
Now, list down the factors of 8814
:1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Greatest Common Factor
We found the factors 5731,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 5731,8814 is 1.
Lets's calculate LCM of 519,8257
Given numbers has no common factors except 1. So, there LCM is their product i.e 4285383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4285383
Therefore, the GCF of Fractions 5731/519,8814/8257 is 1/4285383
Least Common Multiple of 519,8257 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 519,8257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,8257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,8257) x common factors =1 x 1 = 1
LCM(519,8257) = ( 519 × 8257 ) / 1
LCM(519,8257) = 4285383 / 1
LCM(519,8257) = 4285383
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FAQs on GCF of Fractions of 5731/519, 8814/8257
1. What is the HCF of 5731,8814?
The HCF of 5731,8814 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 5731/519, 8814/8257?
Answer: GCF of Numerators as per given numbers 5731/519, 8814/8257 is
GCF of Numerators i.e. for 5731,8814 is 1
LCM of denominators i.e. for 519,8257 is 4285383.
Thus, GCF of Fractions is 1/4285383.Finally, GCF of Fractions for 5731/519, 8814/8257 is 1/4285383.