GCF of 7130/511, 5406/9989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7130/511, 5406/9989 i.e 2/729197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7130/511, 5406/9989.
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 7130/511,5406/9989?
Given fractions are 7130/511,5406/9989
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 7130/511,5406/9989, numerators are 7130,5406
Denominators are 511,9989
The GCF of 7130,5406 is 2 .
LCM of 511,9989 is 729197.
The greatest common factor of 7130/511,5406/9989 = [GCF of 7130,5406]/[LCM of 511,9989]= 2/729197
Therefore, the GCF of 7130/511,5406/9989 is 2/729197.
To find the highest common factor of 7130,5406, we have to find the factors of both numbers and list the highest common factor.
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The factors of 5406 are 1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406
The HCF of 7130,5406 is 2.
Lets's calculate GCF of 7130,5406
| 2 | 7130, 5406 |
| 3565, 2703 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7130,5406 By Matching Biggest Common Factor Method
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Now, list down the factors of 5406
:1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406
Greatest Common Factor
We found the factors 7130,5406 . The biggest common factor number is the GCF number.
So the greatest common factor 7130,5406 is 2.
Lets's calculate LCM of 511,9989
| 7 | 511, 9989 |
| 73, 1427 |
∴ So the LCM of the given numbers is 7 x 73 x 1427 = 729197
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/729197
Therefore, the GCF of Fractions 7130/511,5406/9989 is 2/729197
Least Common Multiple of 511,9989 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 511,9989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,9989) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(511,9989) x common factors =7 x 1 = 7
LCM(511,9989) = ( 511 × 9989 ) / 7
LCM(511,9989) = 5104379 / 7
LCM(511,9989) = 729197
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FAQs on GCF of Fractions of 7130/511, 5406/9989
1. What is the HCF of 7130,5406?
The HCF of 7130,5406 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 7130/511, 5406/9989?
Answer: GCF of Numerators as per given numbers 7130/511, 5406/9989 is
GCF of Numerators i.e. for 7130,5406 is 2
LCM of denominators i.e. for 511,9989 is 729197.
Thus, GCF of Fractions is 2/729197.Finally, GCF of Fractions for 7130/511, 5406/9989 is 2/729197.