GCF of 4938/369, 1520/2796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4938/369, 1520/2796 i.e 2/343908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4938/369, 1520/2796.
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 4938/369,1520/2796?
Given fractions are 4938/369,1520/2796
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 4938/369,1520/2796, numerators are 4938,1520
Denominators are 369,2796
The GCF of 4938,1520 is 2 .
LCM of 369,2796 is 343908.
The greatest common factor of 4938/369,1520/2796 = [GCF of 4938,1520]/[LCM of 369,2796]= 2/343908
Therefore, the GCF of 4938/369,1520/2796 is 2/343908.
To find the highest common factor of 4938,1520, we have to find the factors of both numbers and list the highest common factor.
The factors of 4938 are 1, 2, 3, 6, 823, 1646, 2469, 4938
The factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
The HCF of 4938,1520 is 2.
Lets's calculate GCF of 4938,1520
| 2 | 4938, 1520 |
| 2469, 760 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4938,1520 By Matching Biggest Common Factor Method
Now, list down the factors of 4938
:1,2,3,6,823,1646,2469,4938
Now, list down the factors of 1520
:1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520
Greatest Common Factor
We found the factors 4938,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 4938,1520 is 2.
Lets's calculate LCM of 369,2796
| 3 | 369, 2796 |
| 123, 932 |
∴ So the LCM of the given numbers is 3 x 123 x 932 = 343908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/343908
Therefore, the GCF of Fractions 4938/369,1520/2796 is 2/343908
Least Common Multiple of 369,2796 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 369,2796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,2796) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,2796) x common factors =3 x 1 = 3
LCM(369,2796) = ( 369 × 2796 ) / 3
LCM(369,2796) = 1031724 / 3
LCM(369,2796) = 343908
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4938/369, 1520/2796
1. What is the HCF of 4938,1520?
The HCF of 4938,1520 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 4938/369, 1520/2796?
Answer: GCF of Numerators as per given numbers 4938/369, 1520/2796 is
GCF of Numerators i.e. for 4938,1520 is 2
LCM of denominators i.e. for 369,2796 is 343908.
Thus, GCF of Fractions is 2/343908.Finally, GCF of Fractions for 4938/369, 1520/2796 is 2/343908.