GCF of 9519/416, 7158/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9519/416, 7158/642 i.e 3/133536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9519/416, 7158/642.
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 9519/416,7158/642?
Given fractions are 9519/416,7158/642
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 9519/416,7158/642, numerators are 9519,7158
Denominators are 416,642
The GCF of 9519,7158 is 3 .
LCM of 416,642 is 133536.
The greatest common factor of 9519/416,7158/642 = [GCF of 9519,7158]/[LCM of 416,642]= 3/133536
Therefore, the GCF of 9519/416,7158/642 is 3/133536.
To find the highest common factor of 9519,7158, we have to find the factors of both numbers and list the highest common factor.
The factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519
The factors of 7158 are 1, 2, 3, 6, 1193, 2386, 3579, 7158
The HCF of 9519,7158 is 3.
Lets's calculate GCF of 9519,7158
| 3 | 9519, 7158 |
| 3173, 2386 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9519,7158 By Matching Biggest Common Factor Method
Now, list down the factors of 9519
:1,3,19,57,167,501,3173,9519
Now, list down the factors of 7158
:1,2,3,6,1193,2386,3579,7158
Greatest Common Factor
We found the factors 9519,7158 . The biggest common factor number is the GCF number.
So the greatest common factor 9519,7158 is 3.
Lets's calculate LCM of 416,642
| 2 | 416, 642 |
| 208, 321 |
∴ So the LCM of the given numbers is 2 x 208 x 321 = 133536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/133536
Therefore, the GCF of Fractions 9519/416,7158/642 is 3/133536
Least Common Multiple of 416,642 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 416,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,642) x common factors =2 x 1 = 2
LCM(416,642) = ( 416 × 642 ) / 2
LCM(416,642) = 267072 / 2
LCM(416,642) = 133536
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FAQs on GCF of Fractions of 9519/416, 7158/642
1. What is the HCF of 9519,7158?
The HCF of 9519,7158 is 3
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 9519/416, 7158/642?
Answer: GCF of Numerators as per given numbers 9519/416, 7158/642 is
GCF of Numerators i.e. for 9519,7158 is 3
LCM of denominators i.e. for 416,642 is 133536.
Thus, GCF of Fractions is 3/133536.Finally, GCF of Fractions for 9519/416, 7158/642 is 3/133536.