GCF of 9250/221, 8870/9775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9250/221, 8870/9775 i.e 10/127075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9250/221, 8870/9775.
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 9250/221,8870/9775?
Given fractions are 9250/221,8870/9775
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 9250/221,8870/9775, numerators are 9250,8870
Denominators are 221,9775
The GCF of 9250,8870 is 10 .
LCM of 221,9775 is 127075.
The greatest common factor of 9250/221,8870/9775 = [GCF of 9250,8870]/[LCM of 221,9775]= 10/127075
Therefore, the GCF of 9250/221,8870/9775 is 10/127075.
To find the highest common factor of 9250,8870, we have to find the factors of both numbers and list the highest common factor.
The factors of 9250 are 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250
The factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870
The HCF of 9250,8870 is 10.
Lets's calculate GCF of 9250,8870
| 2 | 9250, 8870 |
| 5 | 4625, 4435 |
| 925, 887 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9250,8870 By Matching Biggest Common Factor Method
Now, list down the factors of 9250
:1,2,5,10,25,37,50,74,125,185,250,370,925,1850,4625,9250
Now, list down the factors of 8870
:1,2,5,10,887,1774,4435,8870
Greatest Common Factor
We found the factors 9250,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 9250,8870 is 10.
Lets's calculate LCM of 221,9775
| 17 | 221, 9775 |
| 13, 575 |
∴ So the LCM of the given numbers is 17 x 13 x 575 = 127075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/127075
Therefore, the GCF of Fractions 9250/221,8870/9775 is 10/127075
Least Common Multiple of 221,9775 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 221,9775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,9775) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(221,9775) x common factors =17 x 1 = 17
LCM(221,9775) = ( 221 × 9775 ) / 17
LCM(221,9775) = 2160275 / 17
LCM(221,9775) = 127075
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FAQs on GCF of Fractions of 9250/221, 8870/9775
1. What is the HCF of 9250,8870?
The HCF of 9250,8870 is 10
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 9250/221, 8870/9775?
Answer: GCF of Numerators as per given numbers 9250/221, 8870/9775 is
GCF of Numerators i.e. for 9250,8870 is 10
LCM of denominators i.e. for 221,9775 is 127075.
Thus, GCF of Fractions is 10/127075.Finally, GCF of Fractions for 9250/221, 8870/9775 is 10/127075.