GCF of 4258/218, 9040/6311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4258/218, 9040/6311 i.e 2/1375798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4258/218, 9040/6311.
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 4258/218,9040/6311?
Given fractions are 4258/218,9040/6311
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 4258/218,9040/6311, numerators are 4258,9040
Denominators are 218,6311
The GCF of 4258,9040 is 2 .
LCM of 218,6311 is 1375798.
The greatest common factor of 4258/218,9040/6311 = [GCF of 4258,9040]/[LCM of 218,6311]= 2/1375798
Therefore, the GCF of 4258/218,9040/6311 is 2/1375798.
To find the highest common factor of 4258,9040, we have to find the factors of both numbers and list the highest common factor.
The factors of 4258 are 1, 2, 2129, 4258
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The HCF of 4258,9040 is 2.
Lets's calculate GCF of 4258,9040
| 2 | 4258, 9040 |
| 2129, 4520 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4258,9040 By Matching Biggest Common Factor Method
Now, list down the factors of 4258
:1,2,2129,4258
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Greatest Common Factor
We found the factors 4258,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 4258,9040 is 2.
Lets's calculate LCM of 218,6311
Given numbers has no common factors except 1. So, there LCM is their product i.e 1375798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1375798
Therefore, the GCF of Fractions 4258/218,9040/6311 is 2/1375798
Least Common Multiple of 218,6311 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 218,6311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,6311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,6311) x common factors =1 x 1 = 1
LCM(218,6311) = ( 218 × 6311 ) / 1
LCM(218,6311) = 1375798 / 1
LCM(218,6311) = 1375798
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FAQs on GCF of Fractions of 4258/218, 9040/6311
1. What is the HCF of 4258,9040?
The HCF of 4258,9040 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 4258/218, 9040/6311?
Answer: GCF of Numerators as per given numbers 4258/218, 9040/6311 is
GCF of Numerators i.e. for 4258,9040 is 2
LCM of denominators i.e. for 218,6311 is 1375798.
Thus, GCF of Fractions is 2/1375798.Finally, GCF of Fractions for 4258/218, 9040/6311 is 2/1375798.