GCF of 5188/256, 9909/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5188/256, 9909/718 i.e 1/91904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5188/256, 9909/718.
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 5188/256,9909/718?
Given fractions are 5188/256,9909/718
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 5188/256,9909/718, numerators are 5188,9909
Denominators are 256,718
The GCF of 5188,9909 is 1 .
LCM of 256,718 is 91904.
The greatest common factor of 5188/256,9909/718 = [GCF of 5188,9909]/[LCM of 256,718]= 1/91904
Therefore, the GCF of 5188/256,9909/718 is 1/91904.
To find the highest common factor of 5188,9909, we have to find the factors of both numbers and list the highest common factor.
The factors of 5188 are 1, 2, 4, 1297, 2594, 5188
The factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909
The HCF of 5188,9909 is 1.
Lets's calculate GCF of 5188,9909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5188,9909 By Matching Biggest Common Factor Method
Now, list down the factors of 5188
:1,2,4,1297,2594,5188
Now, list down the factors of 9909
:1,3,9,27,367,1101,3303,9909
Greatest Common Factor
We found the factors 5188,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 5188,9909 is 1.
Lets's calculate LCM of 256,718
| 2 | 256, 718 |
| 128, 359 |
∴ So the LCM of the given numbers is 2 x 128 x 359 = 91904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91904
Therefore, the GCF of Fractions 5188/256,9909/718 is 1/91904
Least Common Multiple of 256,718 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 256,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,718) x common factors =2 x 1 = 2
LCM(256,718) = ( 256 × 718 ) / 2
LCM(256,718) = 183808 / 2
LCM(256,718) = 91904
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FAQs on GCF of Fractions of 5188/256, 9909/718
1. What is the HCF of 5188,9909?
The HCF of 5188,9909 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 5188/256, 9909/718?
Answer: GCF of Numerators as per given numbers 5188/256, 9909/718 is
GCF of Numerators i.e. for 5188,9909 is 1
LCM of denominators i.e. for 256,718 is 91904.
Thus, GCF of Fractions is 1/91904.Finally, GCF of Fractions for 5188/256, 9909/718 is 1/91904.