GCF of 1519/802, 9393/5240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1519/802, 9393/5240 i.e 31/2101240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1519/802, 9393/5240.
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 1519/802,9393/5240?
Given fractions are 1519/802,9393/5240
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 1519/802,9393/5240, numerators are 1519,9393
Denominators are 802,5240
The GCF of 1519,9393 is 31 .
LCM of 802,5240 is 2101240.
The greatest common factor of 1519/802,9393/5240 = [GCF of 1519,9393]/[LCM of 802,5240]= 31/2101240
Therefore, the GCF of 1519/802,9393/5240 is 31/2101240.
To find the highest common factor of 1519,9393, we have to find the factors of both numbers and list the highest common factor.
The factors of 1519 are 1, 7, 31, 49, 217, 1519
The factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393
The HCF of 1519,9393 is 31.
Lets's calculate GCF of 1519,9393
| 31 | 1519, 9393 |
| 49, 303 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 1519,9393 By Matching Biggest Common Factor Method
Now, list down the factors of 1519
:1,7,31,49,217,1519
Now, list down the factors of 9393
:1,3,31,93,101,303,3131,9393
Greatest Common Factor
We found the factors 1519,9393 . The biggest common factor number is the GCF number.
So the greatest common factor 1519,9393 is 31.
Lets's calculate LCM of 802,5240
| 2 | 802, 5240 |
| 401, 2620 |
∴ So the LCM of the given numbers is 2 x 401 x 2620 = 2101240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/2101240
Therefore, the GCF of Fractions 1519/802,9393/5240 is 31/2101240
Least Common Multiple of 802,5240 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 802,5240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,5240) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,5240) x common factors =2 x 1 = 2
LCM(802,5240) = ( 802 × 5240 ) / 2
LCM(802,5240) = 4202480 / 2
LCM(802,5240) = 2101240
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FAQs on GCF of Fractions of 1519/802, 9393/5240
1. What is the HCF of 1519,9393?
The HCF of 1519,9393 is 31
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 1519/802, 9393/5240?
Answer: GCF of Numerators as per given numbers 1519/802, 9393/5240 is
GCF of Numerators i.e. for 1519,9393 is 31
LCM of denominators i.e. for 802,5240 is 2101240.
Thus, GCF of Fractions is 31/2101240.Finally, GCF of Fractions for 1519/802, 9393/5240 is 31/2101240.