GCF of 5300/233, 9457/8213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5300/233, 9457/8213 i.e 1/1913629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5300/233, 9457/8213.
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 5300/233,9457/8213?
Given fractions are 5300/233,9457/8213
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 5300/233,9457/8213, numerators are 5300,9457
Denominators are 233,8213
The GCF of 5300,9457 is 1 .
LCM of 233,8213 is 1913629.
The greatest common factor of 5300/233,9457/8213 = [GCF of 5300,9457]/[LCM of 233,8213]= 1/1913629
Therefore, the GCF of 5300/233,9457/8213 is 1/1913629.
To find the highest common factor of 5300,9457, we have to find the factors of both numbers and list the highest common factor.
The factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300
The factors of 9457 are 1, 7, 49, 193, 1351, 9457
The HCF of 5300,9457 is 1.
Lets's calculate GCF of 5300,9457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5300,9457 By Matching Biggest Common Factor Method
Now, list down the factors of 5300
:1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300
Now, list down the factors of 9457
:1,7,49,193,1351,9457
Greatest Common Factor
We found the factors 5300,9457 . The biggest common factor number is the GCF number.
So the greatest common factor 5300,9457 is 1.
Lets's calculate LCM of 233,8213
Given numbers has no common factors except 1. So, there LCM is their product i.e 1913629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1913629
Therefore, the GCF of Fractions 5300/233,9457/8213 is 1/1913629
Least Common Multiple of 233,8213 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 233,8213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,8213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,8213) x common factors =1 x 1 = 1
LCM(233,8213) = ( 233 × 8213 ) / 1
LCM(233,8213) = 1913629 / 1
LCM(233,8213) = 1913629
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5300/233, 9457/8213
1. What is the HCF of 5300,9457?
The HCF of 5300,9457 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 5300/233, 9457/8213?
Answer: GCF of Numerators as per given numbers 5300/233, 9457/8213 is
GCF of Numerators i.e. for 5300,9457 is 1
LCM of denominators i.e. for 233,8213 is 1913629.
Thus, GCF of Fractions is 1/1913629.Finally, GCF of Fractions for 5300/233, 9457/8213 is 1/1913629.