GCF of 7018/431, 3366/6134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7018/431, 3366/6134 i.e 22/2643754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7018/431, 3366/6134.
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 7018/431,3366/6134?
Given fractions are 7018/431,3366/6134
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 7018/431,3366/6134, numerators are 7018,3366
Denominators are 431,6134
The GCF of 7018,3366 is 22 .
LCM of 431,6134 is 2643754.
The greatest common factor of 7018/431,3366/6134 = [GCF of 7018,3366]/[LCM of 431,6134]= 22/2643754
Therefore, the GCF of 7018/431,3366/6134 is 22/2643754.
To find the highest common factor of 7018,3366, we have to find the factors of both numbers and list the highest common factor.
The factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
The HCF of 7018,3366 is 22.
Lets's calculate GCF of 7018,3366
| 2 | 7018, 3366 |
| 11 | 3509, 1683 |
| 319, 153 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 7018,3366 By Matching Biggest Common Factor Method
Now, list down the factors of 7018
:1,2,11,22,29,58,121,242,319,638,3509,7018
Now, list down the factors of 3366
:1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Greatest Common Factor
We found the factors 7018,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 7018,3366 is 22.
Lets's calculate LCM of 431,6134
Given numbers has no common factors except 1. So, there LCM is their product i.e 2643754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/2643754
Therefore, the GCF of Fractions 7018/431,3366/6134 is 22/2643754
Least Common Multiple of 431,6134 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 431,6134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,6134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,6134) x common factors =1 x 1 = 1
LCM(431,6134) = ( 431 × 6134 ) / 1
LCM(431,6134) = 2643754 / 1
LCM(431,6134) = 2643754
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FAQs on GCF of Fractions of 7018/431, 3366/6134
1. What is the HCF of 7018,3366?
The HCF of 7018,3366 is 22
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 7018/431, 3366/6134?
Answer: GCF of Numerators as per given numbers 7018/431, 3366/6134 is
GCF of Numerators i.e. for 7018,3366 is 22
LCM of denominators i.e. for 431,6134 is 2643754.
Thus, GCF of Fractions is 22/2643754.Finally, GCF of Fractions for 7018/431, 3366/6134 is 22/2643754.