GCF of 86/180, 5336/7551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/180, 5336/7551 i.e 2/151020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/180, 5336/7551.
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 86/180,5336/7551?
Given fractions are 86/180,5336/7551
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 86/180,5336/7551, numerators are 86,5336
Denominators are 180,7551
The GCF of 86,5336 is 2 .
LCM of 180,7551 is 151020.
The greatest common factor of 86/180,5336/7551 = [GCF of 86,5336]/[LCM of 180,7551]= 2/151020
Therefore, the GCF of 86/180,5336/7551 is 2/151020.
To find the highest common factor of 86,5336, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 5336 are 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336
The HCF of 86,5336 is 2.
Lets's calculate GCF of 86,5336
| 2 | 86, 5336 |
| 43, 2668 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 86,5336 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 5336
:1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336
Greatest Common Factor
We found the factors 86,5336 . The biggest common factor number is the GCF number.
So the greatest common factor 86,5336 is 2.
Lets's calculate LCM of 180,7551
| 3 | 180, 7551 |
| 3 | 60, 2517 |
| 20, 839 |
∴ So the LCM of the given numbers is 3 x 3 x 20 x 839 = 151020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151020
Therefore, the GCF of Fractions 86/180,5336/7551 is 2/151020
Least Common Multiple of 180,7551 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 180,7551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,7551) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(180,7551) x common factors =9 x 1 = 9
LCM(180,7551) = ( 180 × 7551 ) / 9
LCM(180,7551) = 1359180 / 9
LCM(180,7551) = 151020
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FAQs on GCF of Fractions of 86/180, 5336/7551
1. What is the HCF of 86,5336?
The HCF of 86,5336 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 86/180, 5336/7551?
Answer: GCF of Numerators as per given numbers 86/180, 5336/7551 is
GCF of Numerators i.e. for 86,5336 is 2
LCM of denominators i.e. for 180,7551 is 151020.
Thus, GCF of Fractions is 2/151020.Finally, GCF of Fractions for 86/180, 5336/7551 is 2/151020.