GCF of 7901/543, 8871/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7901/543, 8871/350 i.e 1/190050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7901/543, 8871/350.
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 7901/543,8871/350?
Given fractions are 7901/543,8871/350
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 7901/543,8871/350, numerators are 7901,8871
Denominators are 543,350
The GCF of 7901,8871 is 1 .
LCM of 543,350 is 190050.
The greatest common factor of 7901/543,8871/350 = [GCF of 7901,8871]/[LCM of 543,350]= 1/190050
Therefore, the GCF of 7901/543,8871/350 is 1/190050.
To find the highest common factor of 7901,8871, we have to find the factors of both numbers and list the highest common factor.
The factors of 7901 are 1, 7901
The factors of 8871 are 1, 3, 2957, 8871
The HCF of 7901,8871 is 1.
Lets's calculate GCF of 7901,8871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7901,8871 By Matching Biggest Common Factor Method
Now, list down the factors of 7901
:1,7901
Now, list down the factors of 8871
:1,3,2957,8871
Greatest Common Factor
We found the factors 7901,8871 . The biggest common factor number is the GCF number.
So the greatest common factor 7901,8871 is 1.
Lets's calculate LCM of 543,350
Given numbers has no common factors except 1. So, there LCM is their product i.e 190050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190050
Therefore, the GCF of Fractions 7901/543,8871/350 is 1/190050
Least Common Multiple of 543,350 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 543,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,350) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,350) x common factors =1 x 1 = 1
LCM(543,350) = ( 543 × 350 ) / 1
LCM(543,350) = 190050 / 1
LCM(543,350) = 190050
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7901/543, 8871/350
1. What is the HCF of 7901,8871?
The HCF of 7901,8871 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 7901/543, 8871/350?
Answer: GCF of Numerators as per given numbers 7901/543, 8871/350 is
GCF of Numerators i.e. for 7901,8871 is 1
LCM of denominators i.e. for 543,350 is 190050.
Thus, GCF of Fractions is 1/190050.Finally, GCF of Fractions for 7901/543, 8871/350 is 1/190050.