GCF of 1515/133, 1445/5239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1515/133, 1445/5239 i.e 5/696787 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1515/133, 1445/5239.
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 1515/133,1445/5239?
Given fractions are 1515/133,1445/5239
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 1515/133,1445/5239, numerators are 1515,1445
Denominators are 133,5239
The GCF of 1515,1445 is 5 .
LCM of 133,5239 is 696787.
The greatest common factor of 1515/133,1445/5239 = [GCF of 1515,1445]/[LCM of 133,5239]= 5/696787
Therefore, the GCF of 1515/133,1445/5239 is 5/696787.
To find the highest common factor of 1515,1445, we have to find the factors of both numbers and list the highest common factor.
The factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515
The factors of 1445 are 1, 5, 17, 85, 289, 1445
The HCF of 1515,1445 is 5.
Lets's calculate GCF of 1515,1445
| 5 | 1515, 1445 |
| 303, 289 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1515,1445 By Matching Biggest Common Factor Method
Now, list down the factors of 1515
:1,3,5,15,101,303,505,1515
Now, list down the factors of 1445
:1,5,17,85,289,1445
Greatest Common Factor
We found the factors 1515,1445 . The biggest common factor number is the GCF number.
So the greatest common factor 1515,1445 is 5.
Lets's calculate LCM of 133,5239
Given numbers has no common factors except 1. So, there LCM is their product i.e 696787
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/696787
Therefore, the GCF of Fractions 1515/133,1445/5239 is 5/696787
Least Common Multiple of 133,5239 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 133,5239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,5239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,5239) x common factors =1 x 1 = 1
LCM(133,5239) = ( 133 × 5239 ) / 1
LCM(133,5239) = 696787 / 1
LCM(133,5239) = 696787
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FAQs on GCF of Fractions of 1515/133, 1445/5239
1. What is the HCF of 1515,1445?
The HCF of 1515,1445 is 5
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 1515/133, 1445/5239?
Answer: GCF of Numerators as per given numbers 1515/133, 1445/5239 is
GCF of Numerators i.e. for 1515,1445 is 5
LCM of denominators i.e. for 133,5239 is 696787.
Thus, GCF of Fractions is 5/696787.Finally, GCF of Fractions for 1515/133, 1445/5239 is 5/696787.