GCF of 9139/384, 5210/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9139/384, 5210/782 i.e 1/150144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9139/384, 5210/782.
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 9139/384,5210/782?
Given fractions are 9139/384,5210/782
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 9139/384,5210/782, numerators are 9139,5210
Denominators are 384,782
The GCF of 9139,5210 is 1 .
LCM of 384,782 is 150144.
The greatest common factor of 9139/384,5210/782 = [GCF of 9139,5210]/[LCM of 384,782]= 1/150144
Therefore, the GCF of 9139/384,5210/782 is 1/150144.
To find the highest common factor of 9139,5210, we have to find the factors of both numbers and list the highest common factor.
The factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139
The factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210
The HCF of 9139,5210 is 1.
Lets's calculate GCF of 9139,5210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9139,5210 By Matching Biggest Common Factor Method
Now, list down the factors of 9139
:1,13,19,37,247,481,703,9139
Now, list down the factors of 5210
:1,2,5,10,521,1042,2605,5210
Greatest Common Factor
We found the factors 9139,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 9139,5210 is 1.
Lets's calculate LCM of 384,782
| 2 | 384, 782 |
| 192, 391 |
∴ So the LCM of the given numbers is 2 x 192 x 391 = 150144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150144
Therefore, the GCF of Fractions 9139/384,5210/782 is 1/150144
Least Common Multiple of 384,782 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 384,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(384,782) x common factors =2 x 1 = 2
LCM(384,782) = ( 384 × 782 ) / 2
LCM(384,782) = 300288 / 2
LCM(384,782) = 150144
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FAQs on GCF of Fractions of 9139/384, 5210/782
1. What is the HCF of 9139,5210?
The HCF of 9139,5210 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 9139/384, 5210/782?
Answer: GCF of Numerators as per given numbers 9139/384, 5210/782 is
GCF of Numerators i.e. for 9139,5210 is 1
LCM of denominators i.e. for 384,782 is 150144.
Thus, GCF of Fractions is 1/150144.Finally, GCF of Fractions for 9139/384, 5210/782 is 1/150144.