GCF of 9131/492, 5256/6146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9131/492, 5256/6146 i.e 1/1511916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9131/492, 5256/6146.
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 9131/492,5256/6146?
Given fractions are 9131/492,5256/6146
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 9131/492,5256/6146, numerators are 9131,5256
Denominators are 492,6146
The GCF of 9131,5256 is 1 .
LCM of 492,6146 is 1511916.
The greatest common factor of 9131/492,5256/6146 = [GCF of 9131,5256]/[LCM of 492,6146]= 1/1511916
Therefore, the GCF of 9131/492,5256/6146 is 1/1511916.
To find the highest common factor of 9131,5256, we have to find the factors of both numbers and list the highest common factor.
The factors of 9131 are 1, 23, 397, 9131
The factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256
The HCF of 9131,5256 is 1.
Lets's calculate GCF of 9131,5256
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9131,5256 By Matching Biggest Common Factor Method
Now, list down the factors of 9131
:1,23,397,9131
Now, list down the factors of 5256
:1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256
Greatest Common Factor
We found the factors 9131,5256 . The biggest common factor number is the GCF number.
So the greatest common factor 9131,5256 is 1.
Lets's calculate LCM of 492,6146
| 2 | 492, 6146 |
| 246, 3073 |
∴ So the LCM of the given numbers is 2 x 246 x 3073 = 1511916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1511916
Therefore, the GCF of Fractions 9131/492,5256/6146 is 1/1511916
Least Common Multiple of 492,6146 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 492,6146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,6146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(492,6146) x common factors =2 x 1 = 2
LCM(492,6146) = ( 492 × 6146 ) / 2
LCM(492,6146) = 3023832 / 2
LCM(492,6146) = 1511916
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FAQs on GCF of Fractions of 9131/492, 5256/6146
1. What is the HCF of 9131,5256?
The HCF of 9131,5256 is 1
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 9131/492, 5256/6146?
Answer: GCF of Numerators as per given numbers 9131/492, 5256/6146 is
GCF of Numerators i.e. for 9131,5256 is 1
LCM of denominators i.e. for 492,6146 is 1511916.
Thus, GCF of Fractions is 1/1511916.Finally, GCF of Fractions for 9131/492, 5256/6146 is 1/1511916.