GCF of 8737/519, 7259/3130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8737/519, 7259/3130 i.e 1/1624470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8737/519, 7259/3130.
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 8737/519,7259/3130?
Given fractions are 8737/519,7259/3130
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 8737/519,7259/3130, numerators are 8737,7259
Denominators are 519,3130
The GCF of 8737,7259 is 1 .
LCM of 519,3130 is 1624470.
The greatest common factor of 8737/519,7259/3130 = [GCF of 8737,7259]/[LCM of 519,3130]= 1/1624470
Therefore, the GCF of 8737/519,7259/3130 is 1/1624470.
To find the highest common factor of 8737,7259, we have to find the factors of both numbers and list the highest common factor.
The factors of 8737 are 1, 8737
The factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259
The HCF of 8737,7259 is 1.
Lets's calculate GCF of 8737,7259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8737,7259 By Matching Biggest Common Factor Method
Now, list down the factors of 8737
:1,8737
Now, list down the factors of 7259
:1,7,17,61,119,427,1037,7259
Greatest Common Factor
We found the factors 8737,7259 . The biggest common factor number is the GCF number.
So the greatest common factor 8737,7259 is 1.
Lets's calculate LCM of 519,3130
Given numbers has no common factors except 1. So, there LCM is their product i.e 1624470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624470
Therefore, the GCF of Fractions 8737/519,7259/3130 is 1/1624470
Least Common Multiple of 519,3130 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 519,3130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,3130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,3130) x common factors =1 x 1 = 1
LCM(519,3130) = ( 519 × 3130 ) / 1
LCM(519,3130) = 1624470 / 1
LCM(519,3130) = 1624470
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FAQs on GCF of Fractions of 8737/519, 7259/3130
1. What is the HCF of 8737,7259?
The HCF of 8737,7259 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 8737/519, 7259/3130?
Answer: GCF of Numerators as per given numbers 8737/519, 7259/3130 is
GCF of Numerators i.e. for 8737,7259 is 1
LCM of denominators i.e. for 519,3130 is 1624470.
Thus, GCF of Fractions is 1/1624470.Finally, GCF of Fractions for 8737/519, 7259/3130 is 1/1624470.