GCF of 7018/272, 5017/2186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7018/272, 5017/2186 i.e 29/297296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7018/272, 5017/2186.
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 7018/272,5017/2186?
Given fractions are 7018/272,5017/2186
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 7018/272,5017/2186, numerators are 7018,5017
Denominators are 272,2186
The GCF of 7018,5017 is 29 .
LCM of 272,2186 is 297296.
The greatest common factor of 7018/272,5017/2186 = [GCF of 7018,5017]/[LCM of 272,2186]= 29/297296
Therefore, the GCF of 7018/272,5017/2186 is 29/297296.
To find the highest common factor of 7018,5017, 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 5017 are 1, 29, 173, 5017
The HCF of 7018,5017 is 29.
Lets's calculate GCF of 7018,5017
| 29 | 7018, 5017 |
| 242, 173 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 7018,5017 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 5017
:1,29,173,5017
Greatest Common Factor
We found the factors 7018,5017 . The biggest common factor number is the GCF number.
So the greatest common factor 7018,5017 is 29.
Lets's calculate LCM of 272,2186
| 2 | 272, 2186 |
| 136, 1093 |
∴ So the LCM of the given numbers is 2 x 136 x 1093 = 297296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/297296
Therefore, the GCF of Fractions 7018/272,5017/2186 is 29/297296
Least Common Multiple of 272,2186 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 272,2186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,2186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,2186) x common factors =2 x 1 = 2
LCM(272,2186) = ( 272 × 2186 ) / 2
LCM(272,2186) = 594592 / 2
LCM(272,2186) = 297296
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FAQs on GCF of Fractions of 7018/272, 5017/2186
1. What is the HCF of 7018,5017?
The HCF of 7018,5017 is 29
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 7018/272, 5017/2186?
Answer: GCF of Numerators as per given numbers 7018/272, 5017/2186 is
GCF of Numerators i.e. for 7018,5017 is 29
LCM of denominators i.e. for 272,2186 is 297296.
Thus, GCF of Fractions is 29/297296.Finally, GCF of Fractions for 7018/272, 5017/2186 is 29/297296.