GCF of 1515/390, 9590/2602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1515/390, 9590/2602 i.e 5/507390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1515/390, 9590/2602.
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 1515/390,9590/2602?
Given fractions are 1515/390,9590/2602
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 1515/390,9590/2602, numerators are 1515,9590
Denominators are 390,2602
The GCF of 1515,9590 is 5 .
LCM of 390,2602 is 507390.
The greatest common factor of 1515/390,9590/2602 = [GCF of 1515,9590]/[LCM of 390,2602]= 5/507390
Therefore, the GCF of 1515/390,9590/2602 is 5/507390.
To find the highest common factor of 1515,9590, 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 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590
The HCF of 1515,9590 is 5.
Lets's calculate GCF of 1515,9590
| 5 | 1515, 9590 |
| 303, 1918 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1515,9590 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 9590
:1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590
Greatest Common Factor
We found the factors 1515,9590 . The biggest common factor number is the GCF number.
So the greatest common factor 1515,9590 is 5.
Lets's calculate LCM of 390,2602
| 2 | 390, 2602 |
| 195, 1301 |
∴ So the LCM of the given numbers is 2 x 195 x 1301 = 507390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/507390
Therefore, the GCF of Fractions 1515/390,9590/2602 is 5/507390
Least Common Multiple of 390,2602 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 390,2602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,2602) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(390,2602) x common factors =2 x 1 = 2
LCM(390,2602) = ( 390 × 2602 ) / 2
LCM(390,2602) = 1014780 / 2
LCM(390,2602) = 507390
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FAQs on GCF of Fractions of 1515/390, 9590/2602
1. What is the HCF of 1515,9590?
The HCF of 1515,9590 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 1515/390, 9590/2602?
Answer: GCF of Numerators as per given numbers 1515/390, 9590/2602 is
GCF of Numerators i.e. for 1515,9590 is 5
LCM of denominators i.e. for 390,2602 is 507390.
Thus, GCF of Fractions is 5/507390.Finally, GCF of Fractions for 1515/390, 9590/2602 is 5/507390.