GCF of 1493/498, 1529/7488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1493/498, 1529/7488 i.e 1/621504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1493/498, 1529/7488.
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 1493/498,1529/7488?
Given fractions are 1493/498,1529/7488
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 1493/498,1529/7488, numerators are 1493,1529
Denominators are 498,7488
The GCF of 1493,1529 is 1 .
LCM of 498,7488 is 621504.
The greatest common factor of 1493/498,1529/7488 = [GCF of 1493,1529]/[LCM of 498,7488]= 1/621504
Therefore, the GCF of 1493/498,1529/7488 is 1/621504.
To find the highest common factor of 1493,1529, we have to find the factors of both numbers and list the highest common factor.
The factors of 1493 are 1, 1493
The factors of 1529 are 1, 11, 139, 1529
The HCF of 1493,1529 is 1.
Lets's calculate GCF of 1493,1529
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1493,1529 By Matching Biggest Common Factor Method
Now, list down the factors of 1493
:1,1493
Now, list down the factors of 1529
:1,11,139,1529
Greatest Common Factor
We found the factors 1493,1529 . The biggest common factor number is the GCF number.
So the greatest common factor 1493,1529 is 1.
Lets's calculate LCM of 498,7488
| 2 | 498, 7488 |
| 3 | 249, 3744 |
| 83, 1248 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 1248 = 621504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621504
Therefore, the GCF of Fractions 1493/498,1529/7488 is 1/621504
Least Common Multiple of 498,7488 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 498,7488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,7488) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,7488) x common factors =6 x 1 = 6
LCM(498,7488) = ( 498 × 7488 ) / 6
LCM(498,7488) = 3729024 / 6
LCM(498,7488) = 621504
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FAQs on GCF of Fractions of 1493/498, 1529/7488
1. What is the HCF of 1493,1529?
The HCF of 1493,1529 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 1493/498, 1529/7488?
Answer: GCF of Numerators as per given numbers 1493/498, 1529/7488 is
GCF of Numerators i.e. for 1493,1529 is 1
LCM of denominators i.e. for 498,7488 is 621504.
Thus, GCF of Fractions is 1/621504.Finally, GCF of Fractions for 1493/498, 1529/7488 is 1/621504.