GCF of 9255/889, 2131/903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9255/889, 2131/903 i.e 1/114681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9255/889, 2131/903.
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 9255/889,2131/903?
Given fractions are 9255/889,2131/903
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 9255/889,2131/903, numerators are 9255,2131
Denominators are 889,903
The GCF of 9255,2131 is 1 .
LCM of 889,903 is 114681.
The greatest common factor of 9255/889,2131/903 = [GCF of 9255,2131]/[LCM of 889,903]= 1/114681
Therefore, the GCF of 9255/889,2131/903 is 1/114681.
To find the highest common factor of 9255,2131, we have to find the factors of both numbers and list the highest common factor.
The factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255
The factors of 2131 are 1, 2131
The HCF of 9255,2131 is 1.
Lets's calculate GCF of 9255,2131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9255,2131 By Matching Biggest Common Factor Method
Now, list down the factors of 9255
:1,3,5,15,617,1851,3085,9255
Now, list down the factors of 2131
:1,2131
Greatest Common Factor
We found the factors 9255,2131 . The biggest common factor number is the GCF number.
So the greatest common factor 9255,2131 is 1.
Lets's calculate LCM of 889,903
| 7 | 889, 903 |
| 127, 129 |
∴ So the LCM of the given numbers is 7 x 127 x 129 = 114681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114681
Therefore, the GCF of Fractions 9255/889,2131/903 is 1/114681
Least Common Multiple of 889,903 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 889,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,903) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(889,903) x common factors =7 x 1 = 7
LCM(889,903) = ( 889 × 903 ) / 7
LCM(889,903) = 802767 / 7
LCM(889,903) = 114681
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9255/889, 2131/903
1. What is the HCF of 9255,2131?
The HCF of 9255,2131 is 1
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 9255/889, 2131/903?
Answer: GCF of Numerators as per given numbers 9255/889, 2131/903 is
GCF of Numerators i.e. for 9255,2131 is 1
LCM of denominators i.e. for 889,903 is 114681.
Thus, GCF of Fractions is 1/114681.Finally, GCF of Fractions for 9255/889, 2131/903 is 1/114681.