GCF of 5160/531, 3978/885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5160/531, 3978/885 i.e 6/2655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5160/531, 3978/885.
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 5160/531,3978/885?
Given fractions are 5160/531,3978/885
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 5160/531,3978/885, numerators are 5160,3978
Denominators are 531,885
The GCF of 5160,3978 is 6 .
LCM of 531,885 is 2655.
The greatest common factor of 5160/531,3978/885 = [GCF of 5160,3978]/[LCM of 531,885]= 6/2655
Therefore, the GCF of 5160/531,3978/885 is 6/2655.
To find the highest common factor of 5160,3978, 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 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978
The HCF of 5160,3978 is 6.
Lets's calculate GCF of 5160,3978
| 2 | 5160, 3978 |
| 3 | 2580, 1989 |
| 860, 663 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5160,3978 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 3978
:1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978
Greatest Common Factor
We found the factors 5160,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 5160,3978 is 6.
Lets's calculate LCM of 531,885
| 3 | 531, 885 |
| 59 | 177, 295 |
| 3, 5 |
∴ So the LCM of the given numbers is 3 x 59 x 3 x 5 = 2655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2655
Therefore, the GCF of Fractions 5160/531,3978/885 is 6/2655
Least Common Multiple of 531,885 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 531,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,885) = 177
common factors(in case of two or more numbers have common factors) = 1
GCF(531,885) x common factors =177 x 1 = 177
LCM(531,885) = ( 531 × 885 ) / 177
LCM(531,885) = 469935 / 177
LCM(531,885) = 2655
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FAQs on GCF of Fractions of 5160/531, 3978/885
1. What is the HCF of 5160,3978?
The HCF of 5160,3978 is 6
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 5160/531, 3978/885?
Answer: GCF of Numerators as per given numbers 5160/531, 3978/885 is
GCF of Numerators i.e. for 5160,3978 is 6
LCM of denominators i.e. for 531,885 is 2655.
Thus, GCF of Fractions is 6/2655.Finally, GCF of Fractions for 5160/531, 3978/885 is 6/2655.