GCF of 5818/203, 2128/7931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5818/203, 2128/7931 i.e 2/229999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5818/203, 2128/7931.
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 5818/203,2128/7931?
Given fractions are 5818/203,2128/7931
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 5818/203,2128/7931, numerators are 5818,2128
Denominators are 203,7931
The GCF of 5818,2128 is 2 .
LCM of 203,7931 is 229999.
The greatest common factor of 5818/203,2128/7931 = [GCF of 5818,2128]/[LCM of 203,7931]= 2/229999
Therefore, the GCF of 5818/203,2128/7931 is 2/229999.
To find the highest common factor of 5818,2128, we have to find the factors of both numbers and list the highest common factor.
The factors of 5818 are 1, 2, 2909, 5818
The factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128
The HCF of 5818,2128 is 2.
Lets's calculate GCF of 5818,2128
| 2 | 5818, 2128 |
| 2909, 1064 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5818,2128 By Matching Biggest Common Factor Method
Now, list down the factors of 5818
:1,2,2909,5818
Now, list down the factors of 2128
:1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128
Greatest Common Factor
We found the factors 5818,2128 . The biggest common factor number is the GCF number.
So the greatest common factor 5818,2128 is 2.
Lets's calculate LCM of 203,7931
| 7 | 203, 7931 |
| 29, 1133 |
∴ So the LCM of the given numbers is 7 x 29 x 1133 = 229999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/229999
Therefore, the GCF of Fractions 5818/203,2128/7931 is 2/229999
Least Common Multiple of 203,7931 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 203,7931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,7931) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(203,7931) x common factors =7 x 1 = 7
LCM(203,7931) = ( 203 × 7931 ) / 7
LCM(203,7931) = 1609993 / 7
LCM(203,7931) = 229999
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FAQs on GCF of Fractions of 5818/203, 2128/7931
1. What is the HCF of 5818,2128?
The HCF of 5818,2128 is 2
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 5818/203, 2128/7931?
Answer: GCF of Numerators as per given numbers 5818/203, 2128/7931 is
GCF of Numerators i.e. for 5818,2128 is 2
LCM of denominators i.e. for 203,7931 is 229999.
Thus, GCF of Fractions is 2/229999.Finally, GCF of Fractions for 5818/203, 2128/7931 is 2/229999.