GCF of 5160/375, 8127/8793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5160/375, 8127/8793 i.e 129/1099125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5160/375, 8127/8793.
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 5160/375,8127/8793?
Given fractions are 5160/375,8127/8793
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 5160/375,8127/8793, numerators are 5160,8127
Denominators are 375,8793
The GCF of 5160,8127 is 129 .
LCM of 375,8793 is 1099125.
The greatest common factor of 5160/375,8127/8793 = [GCF of 5160,8127]/[LCM of 375,8793]= 129/1099125
Therefore, the GCF of 5160/375,8127/8793 is 129/1099125.
To find the highest common factor of 5160,8127, 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 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127
The HCF of 5160,8127 is 129.
Lets's calculate GCF of 5160,8127
| 3 | 5160, 8127 |
| 43 | 1720, 2709 |
| 40, 63 |
∴ So the GCF of the given numbers is 3 x 43 = 129
Greatest Common Factor of 5160,8127 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 8127
:1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127
Greatest Common Factor
We found the factors 5160,8127 . The biggest common factor number is the GCF number.
So the greatest common factor 5160,8127 is 129.
Lets's calculate LCM of 375,8793
| 3 | 375, 8793 |
| 125, 2931 |
∴ So the LCM of the given numbers is 3 x 125 x 2931 = 1099125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 129/1099125
Therefore, the GCF of Fractions 5160/375,8127/8793 is 129/1099125
Least Common Multiple of 375,8793 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 375,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,8793) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,8793) x common factors =3 x 1 = 3
LCM(375,8793) = ( 375 × 8793 ) / 3
LCM(375,8793) = 3297375 / 3
LCM(375,8793) = 1099125
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FAQs on GCF of Fractions of 5160/375, 8127/8793
1. What is the HCF of 5160,8127?
The HCF of 5160,8127 is 129
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 5160/375, 8127/8793?
Answer: GCF of Numerators as per given numbers 5160/375, 8127/8793 is
GCF of Numerators i.e. for 5160,8127 is 129
LCM of denominators i.e. for 375,8793 is 1099125.
Thus, GCF of Fractions is 129/1099125.Finally, GCF of Fractions for 5160/375, 8127/8793 is 129/1099125.