GCF of 1489/812, 9824/529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1489/812, 9824/529 i.e 1/429548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1489/812, 9824/529.
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 1489/812,9824/529?
Given fractions are 1489/812,9824/529
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 1489/812,9824/529, numerators are 1489,9824
Denominators are 812,529
The GCF of 1489,9824 is 1 .
LCM of 812,529 is 429548.
The greatest common factor of 1489/812,9824/529 = [GCF of 1489,9824]/[LCM of 812,529]= 1/429548
Therefore, the GCF of 1489/812,9824/529 is 1/429548.
To find the highest common factor of 1489,9824, we have to find the factors of both numbers and list the highest common factor.
The factors of 1489 are 1, 1489
The factors of 9824 are 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824
The HCF of 1489,9824 is 1.
Lets's calculate GCF of 1489,9824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1489,9824 By Matching Biggest Common Factor Method
Now, list down the factors of 1489
:1,1489
Now, list down the factors of 9824
:1,2,4,8,16,32,307,614,1228,2456,4912,9824
Greatest Common Factor
We found the factors 1489,9824 . The biggest common factor number is the GCF number.
So the greatest common factor 1489,9824 is 1.
Lets's calculate LCM of 812,529
Given numbers has no common factors except 1. So, there LCM is their product i.e 429548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429548
Therefore, the GCF of Fractions 1489/812,9824/529 is 1/429548
Least Common Multiple of 812,529 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 812,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,529) x common factors =1 x 1 = 1
LCM(812,529) = ( 812 × 529 ) / 1
LCM(812,529) = 429548 / 1
LCM(812,529) = 429548
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FAQs on GCF of Fractions of 1489/812, 9824/529
1. What is the HCF of 1489,9824?
The HCF of 1489,9824 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 1489/812, 9824/529?
Answer: GCF of Numerators as per given numbers 1489/812, 9824/529 is
GCF of Numerators i.e. for 1489,9824 is 1
LCM of denominators i.e. for 812,529 is 429548.
Thus, GCF of Fractions is 1/429548.Finally, GCF of Fractions for 1489/812, 9824/529 is 1/429548.