GCF of 9423/523, 1420/492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9423/523, 1420/492 i.e 1/257316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9423/523, 1420/492.
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 9423/523,1420/492?
Given fractions are 9423/523,1420/492
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 9423/523,1420/492, numerators are 9423,1420
Denominators are 523,492
The GCF of 9423,1420 is 1 .
LCM of 523,492 is 257316.
The greatest common factor of 9423/523,1420/492 = [GCF of 9423,1420]/[LCM of 523,492]= 1/257316
Therefore, the GCF of 9423/523,1420/492 is 1/257316.
To find the highest common factor of 9423,1420, we have to find the factors of both numbers and list the highest common factor.
The factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423
The factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
The HCF of 9423,1420 is 1.
Lets's calculate GCF of 9423,1420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9423,1420 By Matching Biggest Common Factor Method
Now, list down the factors of 9423
:1,3,9,27,349,1047,3141,9423
Now, list down the factors of 1420
:1,2,4,5,10,20,71,142,284,355,710,1420
Greatest Common Factor
We found the factors 9423,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 9423,1420 is 1.
Lets's calculate LCM of 523,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 257316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257316
Therefore, the GCF of Fractions 9423/523,1420/492 is 1/257316
Least Common Multiple of 523,492 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 523,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,492) x common factors =1 x 1 = 1
LCM(523,492) = ( 523 × 492 ) / 1
LCM(523,492) = 257316 / 1
LCM(523,492) = 257316
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FAQs on GCF of Fractions of 9423/523, 1420/492
1. What is the HCF of 9423,1420?
The HCF of 9423,1420 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 9423/523, 1420/492?
Answer: GCF of Numerators as per given numbers 9423/523, 1420/492 is
GCF of Numerators i.e. for 9423,1420 is 1
LCM of denominators i.e. for 523,492 is 257316.
Thus, GCF of Fractions is 1/257316.Finally, GCF of Fractions for 9423/523, 1420/492 is 1/257316.