GCF of 8489/423, 9792/7394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8489/423, 9792/7394 i.e 1/3127662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8489/423, 9792/7394.
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 8489/423,9792/7394?
Given fractions are 8489/423,9792/7394
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 8489/423,9792/7394, numerators are 8489,9792
Denominators are 423,7394
The GCF of 8489,9792 is 1 .
LCM of 423,7394 is 3127662.
The greatest common factor of 8489/423,9792/7394 = [GCF of 8489,9792]/[LCM of 423,7394]= 1/3127662
Therefore, the GCF of 8489/423,9792/7394 is 1/3127662.
To find the highest common factor of 8489,9792, we have to find the factors of both numbers and list the highest common factor.
The factors of 8489 are 1, 13, 653, 8489
The factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792
The HCF of 8489,9792 is 1.
Lets's calculate GCF of 8489,9792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8489,9792 By Matching Biggest Common Factor Method
Now, list down the factors of 8489
:1,13,653,8489
Now, list down the factors of 9792
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792
Greatest Common Factor
We found the factors 8489,9792 . The biggest common factor number is the GCF number.
So the greatest common factor 8489,9792 is 1.
Lets's calculate LCM of 423,7394
Given numbers has no common factors except 1. So, there LCM is their product i.e 3127662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3127662
Therefore, the GCF of Fractions 8489/423,9792/7394 is 1/3127662
Least Common Multiple of 423,7394 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 423,7394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,7394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(423,7394) x common factors =1 x 1 = 1
LCM(423,7394) = ( 423 × 7394 ) / 1
LCM(423,7394) = 3127662 / 1
LCM(423,7394) = 3127662
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8489/423, 9792/7394
1. What is the HCF of 8489,9792?
The HCF of 8489,9792 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 8489/423, 9792/7394?
Answer: GCF of Numerators as per given numbers 8489/423, 9792/7394 is
GCF of Numerators i.e. for 8489,9792 is 1
LCM of denominators i.e. for 423,7394 is 3127662.
Thus, GCF of Fractions is 1/3127662.Finally, GCF of Fractions for 8489/423, 9792/7394 is 1/3127662.