GCF of 5105/784, 9655/4306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5105/784, 9655/4306 i.e 5/1687952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5105/784, 9655/4306.
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 5105/784,9655/4306?
Given fractions are 5105/784,9655/4306
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 5105/784,9655/4306, numerators are 5105,9655
Denominators are 784,4306
The GCF of 5105,9655 is 5 .
LCM of 784,4306 is 1687952.
The greatest common factor of 5105/784,9655/4306 = [GCF of 5105,9655]/[LCM of 784,4306]= 5/1687952
Therefore, the GCF of 5105/784,9655/4306 is 5/1687952.
To find the highest common factor of 5105,9655, we have to find the factors of both numbers and list the highest common factor.
The factors of 5105 are 1, 5, 1021, 5105
The factors of 9655 are 1, 5, 1931, 9655
The HCF of 5105,9655 is 5.
Lets's calculate GCF of 5105,9655
| 5 | 5105, 9655 |
| 1021, 1931 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5105,9655 By Matching Biggest Common Factor Method
Now, list down the factors of 5105
:1,5,1021,5105
Now, list down the factors of 9655
:1,5,1931,9655
Greatest Common Factor
We found the factors 5105,9655 . The biggest common factor number is the GCF number.
So the greatest common factor 5105,9655 is 5.
Lets's calculate LCM of 784,4306
| 2 | 784, 4306 |
| 392, 2153 |
∴ So the LCM of the given numbers is 2 x 392 x 2153 = 1687952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1687952
Therefore, the GCF of Fractions 5105/784,9655/4306 is 5/1687952
Least Common Multiple of 784,4306 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 784,4306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,4306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,4306) x common factors =2 x 1 = 2
LCM(784,4306) = ( 784 × 4306 ) / 2
LCM(784,4306) = 3375904 / 2
LCM(784,4306) = 1687952
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FAQs on GCF of Fractions of 5105/784, 9655/4306
1. What is the HCF of 5105,9655?
The HCF of 5105,9655 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 5105/784, 9655/4306?
Answer: GCF of Numerators as per given numbers 5105/784, 9655/4306 is
GCF of Numerators i.e. for 5105,9655 is 5
LCM of denominators i.e. for 784,4306 is 1687952.
Thus, GCF of Fractions is 5/1687952.Finally, GCF of Fractions for 5105/784, 9655/4306 is 5/1687952.