GCF of 7018/131, 9867/1026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7018/131, 9867/1026 i.e 11/134406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7018/131, 9867/1026.
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 7018/131,9867/1026?
Given fractions are 7018/131,9867/1026
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 7018/131,9867/1026, numerators are 7018,9867
Denominators are 131,1026
The GCF of 7018,9867 is 11 .
LCM of 131,1026 is 134406.
The greatest common factor of 7018/131,9867/1026 = [GCF of 7018,9867]/[LCM of 131,1026]= 11/134406
Therefore, the GCF of 7018/131,9867/1026 is 11/134406.
To find the highest common factor of 7018,9867, 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 9867 are 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867
The HCF of 7018,9867 is 11.
Lets's calculate GCF of 7018,9867
| 11 | 7018, 9867 |
| 638, 897 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7018,9867 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 9867
:1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867
Greatest Common Factor
We found the factors 7018,9867 . The biggest common factor number is the GCF number.
So the greatest common factor 7018,9867 is 11.
Lets's calculate LCM of 131,1026
Given numbers has no common factors except 1. So, there LCM is their product i.e 134406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/134406
Therefore, the GCF of Fractions 7018/131,9867/1026 is 11/134406
Least Common Multiple of 131,1026 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 131,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,1026) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,1026) x common factors =1 x 1 = 1
LCM(131,1026) = ( 131 × 1026 ) / 1
LCM(131,1026) = 134406 / 1
LCM(131,1026) = 134406
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FAQs on GCF of Fractions of 7018/131, 9867/1026
1. What is the HCF of 7018,9867?
The HCF of 7018,9867 is 11
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 7018/131, 9867/1026?
Answer: GCF of Numerators as per given numbers 7018/131, 9867/1026 is
GCF of Numerators i.e. for 7018,9867 is 11
LCM of denominators i.e. for 131,1026 is 134406.
Thus, GCF of Fractions is 11/134406.Finally, GCF of Fractions for 7018/131, 9867/1026 is 11/134406.