GCF of 5330/373, 7462/1968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5330/373, 7462/1968 i.e 1066/734064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5330/373, 7462/1968.
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 5330/373,7462/1968?
Given fractions are 5330/373,7462/1968
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 5330/373,7462/1968, numerators are 5330,7462
Denominators are 373,1968
The GCF of 5330,7462 is 1066 .
LCM of 373,1968 is 734064.
The greatest common factor of 5330/373,7462/1968 = [GCF of 5330,7462]/[LCM of 373,1968]= 1066/734064
Therefore, the GCF of 5330/373,7462/1968 is 1066/734064.
To find the highest common factor of 5330,7462, we have to find the factors of both numbers and list the highest common factor.
The factors of 5330 are 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330
The factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462
The HCF of 5330,7462 is 1066.
Lets's calculate GCF of 5330,7462
| 2 | 5330, 7462 |
| 13 | 2665, 3731 |
| 41 | 205, 287 |
| 5, 7 |
∴ So the GCF of the given numbers is 2 x 13 x 41 = 1066
Greatest Common Factor of 5330,7462 By Matching Biggest Common Factor Method
Now, list down the factors of 5330
:1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Now, list down the factors of 7462
:1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462
Greatest Common Factor
We found the factors 5330,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 5330,7462 is 1066.
Lets's calculate LCM of 373,1968
Given numbers has no common factors except 1. So, there LCM is their product i.e 734064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1066/734064
Therefore, the GCF of Fractions 5330/373,7462/1968 is 1066/734064
Least Common Multiple of 373,1968 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 373,1968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,1968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,1968) x common factors =1 x 1 = 1
LCM(373,1968) = ( 373 × 1968 ) / 1
LCM(373,1968) = 734064 / 1
LCM(373,1968) = 734064
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FAQs on GCF of Fractions of 5330/373, 7462/1968
1. What is the HCF of 5330,7462?
The HCF of 5330,7462 is 1066
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 5330/373, 7462/1968?
Answer: GCF of Numerators as per given numbers 5330/373, 7462/1968 is
GCF of Numerators i.e. for 5330,7462 is 1066
LCM of denominators i.e. for 373,1968 is 734064.
Thus, GCF of Fractions is 1066/734064.Finally, GCF of Fractions for 5330/373, 7462/1968 is 1066/734064.