GCF of 1981/228, 9513/625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1981/228, 9513/625 i.e 7/142500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1981/228, 9513/625.
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 1981/228,9513/625?
Given fractions are 1981/228,9513/625
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 1981/228,9513/625, numerators are 1981,9513
Denominators are 228,625
The GCF of 1981,9513 is 7 .
LCM of 228,625 is 142500.
The greatest common factor of 1981/228,9513/625 = [GCF of 1981,9513]/[LCM of 228,625]= 7/142500
Therefore, the GCF of 1981/228,9513/625 is 7/142500.
To find the highest common factor of 1981,9513, we have to find the factors of both numbers and list the highest common factor.
The factors of 1981 are 1, 7, 283, 1981
The factors of 9513 are 1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513
The HCF of 1981,9513 is 7.
Lets's calculate GCF of 1981,9513
| 7 | 1981, 9513 |
| 283, 1359 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1981,9513 By Matching Biggest Common Factor Method
Now, list down the factors of 1981
:1,7,283,1981
Now, list down the factors of 9513
:1,3,7,9,21,63,151,453,1057,1359,3171,9513
Greatest Common Factor
We found the factors 1981,9513 . The biggest common factor number is the GCF number.
So the greatest common factor 1981,9513 is 7.
Lets's calculate LCM of 228,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 142500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/142500
Therefore, the GCF of Fractions 1981/228,9513/625 is 7/142500
Least Common Multiple of 228,625 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 228,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,625) x common factors =1 x 1 = 1
LCM(228,625) = ( 228 × 625 ) / 1
LCM(228,625) = 142500 / 1
LCM(228,625) = 142500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1981/228, 9513/625
1. What is the HCF of 1981,9513?
The HCF of 1981,9513 is 7
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 1981/228, 9513/625?
Answer: GCF of Numerators as per given numbers 1981/228, 9513/625 is
GCF of Numerators i.e. for 1981,9513 is 7
LCM of denominators i.e. for 228,625 is 142500.
Thus, GCF of Fractions is 7/142500.Finally, GCF of Fractions for 1981/228, 9513/625 is 7/142500.