GCF of 9276/831, 4060/1456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9276/831, 4060/1456 i.e 4/1209936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9276/831, 4060/1456.
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 9276/831,4060/1456?
Given fractions are 9276/831,4060/1456
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 9276/831,4060/1456, numerators are 9276,4060
Denominators are 831,1456
The GCF of 9276,4060 is 4 .
LCM of 831,1456 is 1209936.
The greatest common factor of 9276/831,4060/1456 = [GCF of 9276,4060]/[LCM of 831,1456]= 4/1209936
Therefore, the GCF of 9276/831,4060/1456 is 4/1209936.
To find the highest common factor of 9276,4060, we have to find the factors of both numbers and list the highest common factor.
The factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276
The factors of 4060 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060
The HCF of 9276,4060 is 4.
Lets's calculate GCF of 9276,4060
| 2 | 9276, 4060 |
| 2 | 4638, 2030 |
| 2319, 1015 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9276,4060 By Matching Biggest Common Factor Method
Now, list down the factors of 9276
:1,2,3,4,6,12,773,1546,2319,3092,4638,9276
Now, list down the factors of 4060
:1,2,4,5,7,10,14,20,28,29,35,58,70,116,140,145,203,290,406,580,812,1015,2030,4060
Greatest Common Factor
We found the factors 9276,4060 . The biggest common factor number is the GCF number.
So the greatest common factor 9276,4060 is 4.
Lets's calculate LCM of 831,1456
Given numbers has no common factors except 1. So, there LCM is their product i.e 1209936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1209936
Therefore, the GCF of Fractions 9276/831,4060/1456 is 4/1209936
Least Common Multiple of 831,1456 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 831,1456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,1456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,1456) x common factors =1 x 1 = 1
LCM(831,1456) = ( 831 × 1456 ) / 1
LCM(831,1456) = 1209936 / 1
LCM(831,1456) = 1209936
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FAQs on GCF of Fractions of 9276/831, 4060/1456
1. What is the HCF of 9276,4060?
The HCF of 9276,4060 is 4
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 9276/831, 4060/1456?
Answer: GCF of Numerators as per given numbers 9276/831, 4060/1456 is
GCF of Numerators i.e. for 9276,4060 is 4
LCM of denominators i.e. for 831,1456 is 1209936.
Thus, GCF of Fractions is 4/1209936.Finally, GCF of Fractions for 9276/831, 4060/1456 is 4/1209936.