GCF of 7306/959, 5160/6098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7306/959, 5160/6098 i.e 2/5847982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7306/959, 5160/6098.
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 7306/959,5160/6098?
Given fractions are 7306/959,5160/6098
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 7306/959,5160/6098, numerators are 7306,5160
Denominators are 959,6098
The GCF of 7306,5160 is 2 .
LCM of 959,6098 is 5847982.
The greatest common factor of 7306/959,5160/6098 = [GCF of 7306,5160]/[LCM of 959,6098]= 2/5847982
Therefore, the GCF of 7306/959,5160/6098 is 2/5847982.
To find the highest common factor of 7306,5160, we have to find the factors of both numbers and list the highest common factor.
The factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306
The factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160
The HCF of 7306,5160 is 2.
Lets's calculate GCF of 7306,5160
| 2 | 7306, 5160 |
| 3653, 2580 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7306,5160 By Matching Biggest Common Factor Method
Now, list down the factors of 7306
:1,2,13,26,281,562,3653,7306
Now, list down the factors of 5160
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Greatest Common Factor
We found the factors 7306,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 7306,5160 is 2.
Lets's calculate LCM of 959,6098
Given numbers has no common factors except 1. So, there LCM is their product i.e 5847982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5847982
Therefore, the GCF of Fractions 7306/959,5160/6098 is 2/5847982
Least Common Multiple of 959,6098 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 959,6098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,6098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,6098) x common factors =1 x 1 = 1
LCM(959,6098) = ( 959 × 6098 ) / 1
LCM(959,6098) = 5847982 / 1
LCM(959,6098) = 5847982
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FAQs on GCF of Fractions of 7306/959, 5160/6098
1. What is the HCF of 7306,5160?
The HCF of 7306,5160 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 7306/959, 5160/6098?
Answer: GCF of Numerators as per given numbers 7306/959, 5160/6098 is
GCF of Numerators i.e. for 7306,5160 is 2
LCM of denominators i.e. for 959,6098 is 5847982.
Thus, GCF of Fractions is 2/5847982.Finally, GCF of Fractions for 7306/959, 5160/6098 is 2/5847982.