GCF of 1253/960, 7533/489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1253/960, 7533/489 i.e 1/156480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1253/960, 7533/489.
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 1253/960,7533/489?
Given fractions are 1253/960,7533/489
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 1253/960,7533/489, numerators are 1253,7533
Denominators are 960,489
The GCF of 1253,7533 is 1 .
LCM of 960,489 is 156480.
The greatest common factor of 1253/960,7533/489 = [GCF of 1253,7533]/[LCM of 960,489]= 1/156480
Therefore, the GCF of 1253/960,7533/489 is 1/156480.
To find the highest common factor of 1253,7533, we have to find the factors of both numbers and list the highest common factor.
The factors of 1253 are 1, 7, 179, 1253
The factors of 7533 are 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533
The HCF of 1253,7533 is 1.
Lets's calculate GCF of 1253,7533
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1253,7533 By Matching Biggest Common Factor Method
Now, list down the factors of 1253
:1,7,179,1253
Now, list down the factors of 7533
:1,3,9,27,31,81,93,243,279,837,2511,7533
Greatest Common Factor
We found the factors 1253,7533 . The biggest common factor number is the GCF number.
So the greatest common factor 1253,7533 is 1.
Lets's calculate LCM of 960,489
| 3 | 960, 489 |
| 320, 163 |
∴ So the LCM of the given numbers is 3 x 320 x 163 = 156480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156480
Therefore, the GCF of Fractions 1253/960,7533/489 is 1/156480
Least Common Multiple of 960,489 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 960,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,489) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(960,489) x common factors =3 x 1 = 3
LCM(960,489) = ( 960 × 489 ) / 3
LCM(960,489) = 469440 / 3
LCM(960,489) = 156480
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FAQs on GCF of Fractions of 1253/960, 7533/489
1. What is the HCF of 1253,7533?
The HCF of 1253,7533 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 1253/960, 7533/489?
Answer: GCF of Numerators as per given numbers 1253/960, 7533/489 is
GCF of Numerators i.e. for 1253,7533 is 1
LCM of denominators i.e. for 960,489 is 156480.
Thus, GCF of Fractions is 1/156480.Finally, GCF of Fractions for 1253/960, 7533/489 is 1/156480.