GCF of 4359/350, 8041/501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4359/350, 8041/501 i.e 1/175350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4359/350, 8041/501.
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 4359/350,8041/501?
Given fractions are 4359/350,8041/501
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 4359/350,8041/501, numerators are 4359,8041
Denominators are 350,501
The GCF of 4359,8041 is 1 .
LCM of 350,501 is 175350.
The greatest common factor of 4359/350,8041/501 = [GCF of 4359,8041]/[LCM of 350,501]= 1/175350
Therefore, the GCF of 4359/350,8041/501 is 1/175350.
To find the highest common factor of 4359,8041, we have to find the factors of both numbers and list the highest common factor.
The factors of 4359 are 1, 3, 1453, 4359
The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041
The HCF of 4359,8041 is 1.
Lets's calculate GCF of 4359,8041
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4359,8041 By Matching Biggest Common Factor Method
Now, list down the factors of 4359
:1,3,1453,4359
Now, list down the factors of 8041
:1,11,17,43,187,473,731,8041
Greatest Common Factor
We found the factors 4359,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 4359,8041 is 1.
Lets's calculate LCM of 350,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 175350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175350
Therefore, the GCF of Fractions 4359/350,8041/501 is 1/175350
Least Common Multiple of 350,501 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 350,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(350,501) x common factors =1 x 1 = 1
LCM(350,501) = ( 350 × 501 ) / 1
LCM(350,501) = 175350 / 1
LCM(350,501) = 175350
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FAQs on GCF of Fractions of 4359/350, 8041/501
1. What is the HCF of 4359,8041?
The HCF of 4359,8041 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 4359/350, 8041/501?
Answer: GCF of Numerators as per given numbers 4359/350, 8041/501 is
GCF of Numerators i.e. for 4359,8041 is 1
LCM of denominators i.e. for 350,501 is 175350.
Thus, GCF of Fractions is 1/175350.Finally, GCF of Fractions for 4359/350, 8041/501 is 1/175350.