GCF of 9243/555, 4950/3941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9243/555, 4950/3941 i.e 9/2187255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9243/555, 4950/3941.
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 9243/555,4950/3941?
Given fractions are 9243/555,4950/3941
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 9243/555,4950/3941, numerators are 9243,4950
Denominators are 555,3941
The GCF of 9243,4950 is 9 .
LCM of 555,3941 is 2187255.
The greatest common factor of 9243/555,4950/3941 = [GCF of 9243,4950]/[LCM of 555,3941]= 9/2187255
Therefore, the GCF of 9243/555,4950/3941 is 9/2187255.
To find the highest common factor of 9243,4950, we have to find the factors of both numbers and list the highest common factor.
The factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243
The factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950
The HCF of 9243,4950 is 9.
Lets's calculate GCF of 9243,4950
| 3 | 9243, 4950 |
| 3 | 3081, 1650 |
| 1027, 550 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9243,4950 By Matching Biggest Common Factor Method
Now, list down the factors of 9243
:1,3,9,13,39,79,117,237,711,1027,3081,9243
Now, list down the factors of 4950
:1,2,3,5,6,9,10,11,15,18,22,25,30,33,45,50,55,66,75,90,99,110,150,165,198,225,275,330,450,495,550,825,990,1650,2475,4950
Greatest Common Factor
We found the factors 9243,4950 . The biggest common factor number is the GCF number.
So the greatest common factor 9243,4950 is 9.
Lets's calculate LCM of 555,3941
Given numbers has no common factors except 1. So, there LCM is their product i.e 2187255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2187255
Therefore, the GCF of Fractions 9243/555,4950/3941 is 9/2187255
Least Common Multiple of 555,3941 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 555,3941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,3941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,3941) x common factors =1 x 1 = 1
LCM(555,3941) = ( 555 × 3941 ) / 1
LCM(555,3941) = 2187255 / 1
LCM(555,3941) = 2187255
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9243/555, 4950/3941
1. What is the HCF of 9243,4950?
The HCF of 9243,4950 is 9
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 9243/555, 4950/3941?
Answer: GCF of Numerators as per given numbers 9243/555, 4950/3941 is
GCF of Numerators i.e. for 9243,4950 is 9
LCM of denominators i.e. for 555,3941 is 2187255.
Thus, GCF of Fractions is 9/2187255.Finally, GCF of Fractions for 9243/555, 4950/3941 is 9/2187255.