GCF of 5160/332, 9872/3152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5160/332, 9872/3152 i.e 8/261616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5160/332, 9872/3152.
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 5160/332,9872/3152?
Given fractions are 5160/332,9872/3152
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 5160/332,9872/3152, numerators are 5160,9872
Denominators are 332,3152
The GCF of 5160,9872 is 8 .
LCM of 332,3152 is 261616.
The greatest common factor of 5160/332,9872/3152 = [GCF of 5160,9872]/[LCM of 332,3152]= 8/261616
Therefore, the GCF of 5160/332,9872/3152 is 8/261616.
To find the highest common factor of 5160,9872, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872
The HCF of 5160,9872 is 8.
Lets's calculate GCF of 5160,9872
| 2 | 5160, 9872 |
| 2 | 2580, 4936 |
| 2 | 1290, 2468 |
| 645, 1234 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5160,9872 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9872
:1,2,4,8,16,617,1234,2468,4936,9872
Greatest Common Factor
We found the factors 5160,9872 . The biggest common factor number is the GCF number.
So the greatest common factor 5160,9872 is 8.
Lets's calculate LCM of 332,3152
| 2 | 332, 3152 |
| 2 | 166, 1576 |
| 83, 788 |
∴ So the LCM of the given numbers is 2 x 2 x 83 x 788 = 261616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/261616
Therefore, the GCF of Fractions 5160/332,9872/3152 is 8/261616
Least Common Multiple of 332,3152 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 332,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,3152) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(332,3152) x common factors =4 x 1 = 4
LCM(332,3152) = ( 332 × 3152 ) / 4
LCM(332,3152) = 1046464 / 4
LCM(332,3152) = 261616
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FAQs on GCF of Fractions of 5160/332, 9872/3152
1. What is the HCF of 5160,9872?
The HCF of 5160,9872 is 8
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 5160/332, 9872/3152?
Answer: GCF of Numerators as per given numbers 5160/332, 9872/3152 is
GCF of Numerators i.e. for 5160,9872 is 8
LCM of denominators i.e. for 332,3152 is 261616.
Thus, GCF of Fractions is 8/261616.Finally, GCF of Fractions for 5160/332, 9872/3152 is 8/261616.