GCF of 7543/992, 9146/8857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7543/992, 9146/8857 i.e 1/8786144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7543/992, 9146/8857.
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 7543/992,9146/8857?
Given fractions are 7543/992,9146/8857
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 7543/992,9146/8857, numerators are 7543,9146
Denominators are 992,8857
The GCF of 7543,9146 is 1 .
LCM of 992,8857 is 8786144.
The greatest common factor of 7543/992,9146/8857 = [GCF of 7543,9146]/[LCM of 992,8857]= 1/8786144
Therefore, the GCF of 7543/992,9146/8857 is 1/8786144.
To find the highest common factor of 7543,9146, we have to find the factors of both numbers and list the highest common factor.
The factors of 7543 are 1, 19, 397, 7543
The factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146
The HCF of 7543,9146 is 1.
Lets's calculate GCF of 7543,9146
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7543,9146 By Matching Biggest Common Factor Method
Now, list down the factors of 7543
:1,19,397,7543
Now, list down the factors of 9146
:1,2,17,34,269,538,4573,9146
Greatest Common Factor
We found the factors 7543,9146 . The biggest common factor number is the GCF number.
So the greatest common factor 7543,9146 is 1.
Lets's calculate LCM of 992,8857
Given numbers has no common factors except 1. So, there LCM is their product i.e 8786144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8786144
Therefore, the GCF of Fractions 7543/992,9146/8857 is 1/8786144
Least Common Multiple of 992,8857 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 992,8857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,8857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(992,8857) x common factors =1 x 1 = 1
LCM(992,8857) = ( 992 × 8857 ) / 1
LCM(992,8857) = 8786144 / 1
LCM(992,8857) = 8786144
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7543/992, 9146/8857
1. What is the HCF of 7543,9146?
The HCF of 7543,9146 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 7543/992, 9146/8857?
Answer: GCF of Numerators as per given numbers 7543/992, 9146/8857 is
GCF of Numerators i.e. for 7543,9146 is 1
LCM of denominators i.e. for 992,8857 is 8786144.
Thus, GCF of Fractions is 1/8786144.Finally, GCF of Fractions for 7543/992, 9146/8857 is 1/8786144.