GCF of 4035/325, 5098/1761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4035/325, 5098/1761 i.e 1/572325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4035/325, 5098/1761.
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 4035/325,5098/1761?
Given fractions are 4035/325,5098/1761
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 4035/325,5098/1761, numerators are 4035,5098
Denominators are 325,1761
The GCF of 4035,5098 is 1 .
LCM of 325,1761 is 572325.
The greatest common factor of 4035/325,5098/1761 = [GCF of 4035,5098]/[LCM of 325,1761]= 1/572325
Therefore, the GCF of 4035/325,5098/1761 is 1/572325.
To find the highest common factor of 4035,5098, we have to find the factors of both numbers and list the highest common factor.
The factors of 4035 are 1, 3, 5, 15, 269, 807, 1345, 4035
The factors of 5098 are 1, 2, 2549, 5098
The HCF of 4035,5098 is 1.
Lets's calculate GCF of 4035,5098
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4035,5098 By Matching Biggest Common Factor Method
Now, list down the factors of 4035
:1,3,5,15,269,807,1345,4035
Now, list down the factors of 5098
:1,2,2549,5098
Greatest Common Factor
We found the factors 4035,5098 . The biggest common factor number is the GCF number.
So the greatest common factor 4035,5098 is 1.
Lets's calculate LCM of 325,1761
Given numbers has no common factors except 1. So, there LCM is their product i.e 572325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572325
Therefore, the GCF of Fractions 4035/325,5098/1761 is 1/572325
Least Common Multiple of 325,1761 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 325,1761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,1761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,1761) x common factors =1 x 1 = 1
LCM(325,1761) = ( 325 × 1761 ) / 1
LCM(325,1761) = 572325 / 1
LCM(325,1761) = 572325
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FAQs on GCF of Fractions of 4035/325, 5098/1761
1. What is the HCF of 4035,5098?
The HCF of 4035,5098 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 4035/325, 5098/1761?
Answer: GCF of Numerators as per given numbers 4035/325, 5098/1761 is
GCF of Numerators i.e. for 4035,5098 is 1
LCM of denominators i.e. for 325,1761 is 572325.
Thus, GCF of Fractions is 1/572325.Finally, GCF of Fractions for 4035/325, 5098/1761 is 1/572325.