GCF of 3184/739, 9474/2992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3184/739, 9474/2992 i.e 2/2211088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3184/739, 9474/2992.
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 3184/739,9474/2992?
Given fractions are 3184/739,9474/2992
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 3184/739,9474/2992, numerators are 3184,9474
Denominators are 739,2992
The GCF of 3184,9474 is 2 .
LCM of 739,2992 is 2211088.
The greatest common factor of 3184/739,9474/2992 = [GCF of 3184,9474]/[LCM of 739,2992]= 2/2211088
Therefore, the GCF of 3184/739,9474/2992 is 2/2211088.
To find the highest common factor of 3184,9474, we have to find the factors of both numbers and list the highest common factor.
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474
The HCF of 3184,9474 is 2.
Lets's calculate GCF of 3184,9474
| 2 | 3184, 9474 |
| 1592, 4737 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3184,9474 By Matching Biggest Common Factor Method
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Now, list down the factors of 9474
:1,2,3,6,1579,3158,4737,9474
Greatest Common Factor
We found the factors 3184,9474 . The biggest common factor number is the GCF number.
So the greatest common factor 3184,9474 is 2.
Lets's calculate LCM of 739,2992
Given numbers has no common factors except 1. So, there LCM is their product i.e 2211088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2211088
Therefore, the GCF of Fractions 3184/739,9474/2992 is 2/2211088
Least Common Multiple of 739,2992 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 739,2992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,2992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,2992) x common factors =1 x 1 = 1
LCM(739,2992) = ( 739 × 2992 ) / 1
LCM(739,2992) = 2211088 / 1
LCM(739,2992) = 2211088
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3184/739, 9474/2992
1. What is the HCF of 3184,9474?
The HCF of 3184,9474 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 3184/739, 9474/2992?
Answer: GCF of Numerators as per given numbers 3184/739, 9474/2992 is
GCF of Numerators i.e. for 3184,9474 is 2
LCM of denominators i.e. for 739,2992 is 2211088.
Thus, GCF of Fractions is 2/2211088.Finally, GCF of Fractions for 3184/739, 9474/2992 is 2/2211088.