GCF of 7320/518, 3974/9941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7320/518, 3974/9941 i.e 2/5149438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7320/518, 3974/9941.
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 7320/518,3974/9941?
Given fractions are 7320/518,3974/9941
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 7320/518,3974/9941, numerators are 7320,3974
Denominators are 518,9941
The GCF of 7320,3974 is 2 .
LCM of 518,9941 is 5149438.
The greatest common factor of 7320/518,3974/9941 = [GCF of 7320,3974]/[LCM of 518,9941]= 2/5149438
Therefore, the GCF of 7320/518,3974/9941 is 2/5149438.
To find the highest common factor of 7320,3974, we have to find the factors of both numbers and list the highest common factor.
The factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320
The factors of 3974 are 1, 2, 1987, 3974
The HCF of 7320,3974 is 2.
Lets's calculate GCF of 7320,3974
| 2 | 7320, 3974 |
| 3660, 1987 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7320,3974 By Matching Biggest Common Factor Method
Now, list down the factors of 7320
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320
Now, list down the factors of 3974
:1,2,1987,3974
Greatest Common Factor
We found the factors 7320,3974 . The biggest common factor number is the GCF number.
So the greatest common factor 7320,3974 is 2.
Lets's calculate LCM of 518,9941
Given numbers has no common factors except 1. So, there LCM is their product i.e 5149438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5149438
Therefore, the GCF of Fractions 7320/518,3974/9941 is 2/5149438
Least Common Multiple of 518,9941 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 518,9941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,9941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(518,9941) x common factors =1 x 1 = 1
LCM(518,9941) = ( 518 × 9941 ) / 1
LCM(518,9941) = 5149438 / 1
LCM(518,9941) = 5149438
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7320/518, 3974/9941
1. What is the HCF of 7320,3974?
The HCF of 7320,3974 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 7320/518, 3974/9941?
Answer: GCF of Numerators as per given numbers 7320/518, 3974/9941 is
GCF of Numerators i.e. for 7320,3974 is 2
LCM of denominators i.e. for 518,9941 is 5149438.
Thus, GCF of Fractions is 2/5149438.Finally, GCF of Fractions for 7320/518, 3974/9941 is 2/5149438.