GCF of 5107/589, 7305/9787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5107/589, 7305/9787 i.e 1/5764543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5107/589, 7305/9787.
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 5107/589,7305/9787?
Given fractions are 5107/589,7305/9787
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 5107/589,7305/9787, numerators are 5107,7305
Denominators are 589,9787
The GCF of 5107,7305 is 1 .
LCM of 589,9787 is 5764543.
The greatest common factor of 5107/589,7305/9787 = [GCF of 5107,7305]/[LCM of 589,9787]= 1/5764543
Therefore, the GCF of 5107/589,7305/9787 is 1/5764543.
To find the highest common factor of 5107,7305, we have to find the factors of both numbers and list the highest common factor.
The factors of 5107 are 1, 5107
The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305
The HCF of 5107,7305 is 1.
Lets's calculate GCF of 5107,7305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5107,7305 By Matching Biggest Common Factor Method
Now, list down the factors of 5107
:1,5107
Now, list down the factors of 7305
:1,3,5,15,487,1461,2435,7305
Greatest Common Factor
We found the factors 5107,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 5107,7305 is 1.
Lets's calculate LCM of 589,9787
Given numbers has no common factors except 1. So, there LCM is their product i.e 5764543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5764543
Therefore, the GCF of Fractions 5107/589,7305/9787 is 1/5764543
Least Common Multiple of 589,9787 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 589,9787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,9787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,9787) x common factors =1 x 1 = 1
LCM(589,9787) = ( 589 × 9787 ) / 1
LCM(589,9787) = 5764543 / 1
LCM(589,9787) = 5764543
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FAQs on GCF of Fractions of 5107/589, 7305/9787
1. What is the HCF of 5107,7305?
The HCF of 5107,7305 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 5107/589, 7305/9787?
Answer: GCF of Numerators as per given numbers 5107/589, 7305/9787 is
GCF of Numerators i.e. for 5107,7305 is 1
LCM of denominators i.e. for 589,9787 is 5764543.
Thus, GCF of Fractions is 1/5764543.Finally, GCF of Fractions for 5107/589, 7305/9787 is 1/5764543.