GCF of 1523/490, 8252/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1523/490, 8252/288 i.e 1/70560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1523/490, 8252/288.
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 1523/490,8252/288?
Given fractions are 1523/490,8252/288
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 1523/490,8252/288, numerators are 1523,8252
Denominators are 490,288
The GCF of 1523,8252 is 1 .
LCM of 490,288 is 70560.
The greatest common factor of 1523/490,8252/288 = [GCF of 1523,8252]/[LCM of 490,288]= 1/70560
Therefore, the GCF of 1523/490,8252/288 is 1/70560.
To find the highest common factor of 1523,8252, we have to find the factors of both numbers and list the highest common factor.
The factors of 1523 are 1, 1523
The factors of 8252 are 1, 2, 4, 2063, 4126, 8252
The HCF of 1523,8252 is 1.
Lets's calculate GCF of 1523,8252
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1523,8252 By Matching Biggest Common Factor Method
Now, list down the factors of 1523
:1,1523
Now, list down the factors of 8252
:1,2,4,2063,4126,8252
Greatest Common Factor
We found the factors 1523,8252 . The biggest common factor number is the GCF number.
So the greatest common factor 1523,8252 is 1.
Lets's calculate LCM of 490,288
| 2 | 490, 288 |
| 245, 144 |
∴ So the LCM of the given numbers is 2 x 245 x 144 = 70560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70560
Therefore, the GCF of Fractions 1523/490,8252/288 is 1/70560
Least Common Multiple of 490,288 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 490,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,288) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,288) x common factors =2 x 1 = 2
LCM(490,288) = ( 490 × 288 ) / 2
LCM(490,288) = 141120 / 2
LCM(490,288) = 70560
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FAQs on GCF of Fractions of 1523/490, 8252/288
1. What is the HCF of 1523,8252?
The HCF of 1523,8252 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 1523/490, 8252/288?
Answer: GCF of Numerators as per given numbers 1523/490, 8252/288 is
GCF of Numerators i.e. for 1523,8252 is 1
LCM of denominators i.e. for 490,288 is 70560.
Thus, GCF of Fractions is 1/70560.Finally, GCF of Fractions for 1523/490, 8252/288 is 1/70560.