GCF of 9113/556, 2175/4293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9113/556, 2175/4293 i.e 1/2386908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9113/556, 2175/4293.
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 9113/556,2175/4293?
Given fractions are 9113/556,2175/4293
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 9113/556,2175/4293, numerators are 9113,2175
Denominators are 556,4293
The GCF of 9113,2175 is 1 .
LCM of 556,4293 is 2386908.
The greatest common factor of 9113/556,2175/4293 = [GCF of 9113,2175]/[LCM of 556,4293]= 1/2386908
Therefore, the GCF of 9113/556,2175/4293 is 1/2386908.
To find the highest common factor of 9113,2175, we have to find the factors of both numbers and list the highest common factor.
The factors of 9113 are 1, 13, 701, 9113
The factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175
The HCF of 9113,2175 is 1.
Lets's calculate GCF of 9113,2175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9113,2175 By Matching Biggest Common Factor Method
Now, list down the factors of 9113
:1,13,701,9113
Now, list down the factors of 2175
:1,3,5,15,25,29,75,87,145,435,725,2175
Greatest Common Factor
We found the factors 9113,2175 . The biggest common factor number is the GCF number.
So the greatest common factor 9113,2175 is 1.
Lets's calculate LCM of 556,4293
Given numbers has no common factors except 1. So, there LCM is their product i.e 2386908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2386908
Therefore, the GCF of Fractions 9113/556,2175/4293 is 1/2386908
Least Common Multiple of 556,4293 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 556,4293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,4293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,4293) x common factors =1 x 1 = 1
LCM(556,4293) = ( 556 × 4293 ) / 1
LCM(556,4293) = 2386908 / 1
LCM(556,4293) = 2386908
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9113/556, 2175/4293
1. What is the HCF of 9113,2175?
The HCF of 9113,2175 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 9113/556, 2175/4293?
Answer: GCF of Numerators as per given numbers 9113/556, 2175/4293 is
GCF of Numerators i.e. for 9113,2175 is 1
LCM of denominators i.e. for 556,4293 is 2386908.
Thus, GCF of Fractions is 1/2386908.Finally, GCF of Fractions for 9113/556, 2175/4293 is 1/2386908.