GCF of 9244/350, 8752/5421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9244/350, 8752/5421 i.e 4/1897350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9244/350, 8752/5421.
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 9244/350,8752/5421?
Given fractions are 9244/350,8752/5421
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 9244/350,8752/5421, numerators are 9244,8752
Denominators are 350,5421
The GCF of 9244,8752 is 4 .
LCM of 350,5421 is 1897350.
The greatest common factor of 9244/350,8752/5421 = [GCF of 9244,8752]/[LCM of 350,5421]= 4/1897350
Therefore, the GCF of 9244/350,8752/5421 is 4/1897350.
To find the highest common factor of 9244,8752, we have to find the factors of both numbers and list the highest common factor.
The factors of 9244 are 1, 2, 4, 2311, 4622, 9244
The factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752
The HCF of 9244,8752 is 4.
Lets's calculate GCF of 9244,8752
| 2 | 9244, 8752 |
| 2 | 4622, 4376 |
| 2311, 2188 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9244,8752 By Matching Biggest Common Factor Method
Now, list down the factors of 9244
:1,2,4,2311,4622,9244
Now, list down the factors of 8752
:1,2,4,8,16,547,1094,2188,4376,8752
Greatest Common Factor
We found the factors 9244,8752 . The biggest common factor number is the GCF number.
So the greatest common factor 9244,8752 is 4.
Lets's calculate LCM of 350,5421
Given numbers has no common factors except 1. So, there LCM is their product i.e 1897350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1897350
Therefore, the GCF of Fractions 9244/350,8752/5421 is 4/1897350
Least Common Multiple of 350,5421 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 350,5421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,5421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(350,5421) x common factors =1 x 1 = 1
LCM(350,5421) = ( 350 × 5421 ) / 1
LCM(350,5421) = 1897350 / 1
LCM(350,5421) = 1897350
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9244/350, 8752/5421
1. What is the HCF of 9244,8752?
The HCF of 9244,8752 is 4
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 9244/350, 8752/5421?
Answer: GCF of Numerators as per given numbers 9244/350, 8752/5421 is
GCF of Numerators i.e. for 9244,8752 is 4
LCM of denominators i.e. for 350,5421 is 1897350.
Thus, GCF of Fractions is 4/1897350.Finally, GCF of Fractions for 9244/350, 8752/5421 is 4/1897350.