GCF of 7336/178, 5130/920
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7336/178, 5130/920 i.e 2/81880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7336/178, 5130/920.
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 7336/178,5130/920?
Given fractions are 7336/178,5130/920
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 7336/178,5130/920, numerators are 7336,5130
Denominators are 178,920
The GCF of 7336,5130 is 2 .
LCM of 178,920 is 81880.
The greatest common factor of 7336/178,5130/920 = [GCF of 7336,5130]/[LCM of 178,920]= 2/81880
Therefore, the GCF of 7336/178,5130/920 is 2/81880.
To find the highest common factor of 7336,5130, we have to find the factors of both numbers and list the highest common factor.
The factors of 7336 are 1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336
The factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130
The HCF of 7336,5130 is 2.
Lets's calculate GCF of 7336,5130
| 2 | 7336, 5130 |
| 3668, 2565 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7336,5130 By Matching Biggest Common Factor Method
Now, list down the factors of 7336
:1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336
Now, list down the factors of 5130
:1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130
Greatest Common Factor
We found the factors 7336,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 7336,5130 is 2.
Lets's calculate LCM of 178,920
| 2 | 178, 920 |
| 89, 460 |
∴ So the LCM of the given numbers is 2 x 89 x 460 = 81880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81880
Therefore, the GCF of Fractions 7336/178,5130/920 is 2/81880
Least Common Multiple of 178,920 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 178,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,920) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,920) x common factors =2 x 1 = 2
LCM(178,920) = ( 178 × 920 ) / 2
LCM(178,920) = 163760 / 2
LCM(178,920) = 81880
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FAQs on GCF of Fractions of 7336/178, 5130/920
1. What is the HCF of 7336,5130?
The HCF of 7336,5130 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 7336/178, 5130/920?
Answer: GCF of Numerators as per given numbers 7336/178, 5130/920 is
GCF of Numerators i.e. for 7336,5130 is 2
LCM of denominators i.e. for 178,920 is 81880.
Thus, GCF of Fractions is 2/81880.Finally, GCF of Fractions for 7336/178, 5130/920 is 2/81880.