GCF of 1225/496, 8100/9918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1225/496, 8100/9918 i.e 25/2459664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1225/496, 8100/9918.
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 1225/496,8100/9918?
Given fractions are 1225/496,8100/9918
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 1225/496,8100/9918, numerators are 1225,8100
Denominators are 496,9918
The GCF of 1225,8100 is 25 .
LCM of 496,9918 is 2459664.
The greatest common factor of 1225/496,8100/9918 = [GCF of 1225,8100]/[LCM of 496,9918]= 25/2459664
Therefore, the GCF of 1225/496,8100/9918 is 25/2459664.
To find the highest common factor of 1225,8100, we have to find the factors of both numbers and list the highest common factor.
The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225
The factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100
The HCF of 1225,8100 is 25.
Lets's calculate GCF of 1225,8100
| 5 | 1225, 8100 |
| 5 | 245, 1620 |
| 49, 324 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 1225,8100 By Matching Biggest Common Factor Method
Now, list down the factors of 1225
:1,5,7,25,35,49,175,245,1225
Now, list down the factors of 8100
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100
Greatest Common Factor
We found the factors 1225,8100 . The biggest common factor number is the GCF number.
So the greatest common factor 1225,8100 is 25.
Lets's calculate LCM of 496,9918
| 2 | 496, 9918 |
| 248, 4959 |
∴ So the LCM of the given numbers is 2 x 248 x 4959 = 2459664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2459664
Therefore, the GCF of Fractions 1225/496,8100/9918 is 25/2459664
Least Common Multiple of 496,9918 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 496,9918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,9918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,9918) x common factors =2 x 1 = 2
LCM(496,9918) = ( 496 × 9918 ) / 2
LCM(496,9918) = 4919328 / 2
LCM(496,9918) = 2459664
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1225/496, 8100/9918
1. What is the HCF of 1225,8100?
The HCF of 1225,8100 is 25
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 1225/496, 8100/9918?
Answer: GCF of Numerators as per given numbers 1225/496, 8100/9918 is
GCF of Numerators i.e. for 1225,8100 is 25
LCM of denominators i.e. for 496,9918 is 2459664.
Thus, GCF of Fractions is 25/2459664.Finally, GCF of Fractions for 1225/496, 8100/9918 is 25/2459664.