GCF of 4968/483, 5326/8049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4968/483, 5326/8049 i.e 2/1295889 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4968/483, 5326/8049.
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 4968/483,5326/8049?
Given fractions are 4968/483,5326/8049
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 4968/483,5326/8049, numerators are 4968,5326
Denominators are 483,8049
The GCF of 4968,5326 is 2 .
LCM of 483,8049 is 1295889.
The greatest common factor of 4968/483,5326/8049 = [GCF of 4968,5326]/[LCM of 483,8049]= 2/1295889
Therefore, the GCF of 4968/483,5326/8049 is 2/1295889.
To find the highest common factor of 4968,5326, we have to find the factors of both numbers and list the highest common factor.
The factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968
The factors of 5326 are 1, 2, 2663, 5326
The HCF of 4968,5326 is 2.
Lets's calculate GCF of 4968,5326
| 2 | 4968, 5326 |
| 2484, 2663 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4968,5326 By Matching Biggest Common Factor Method
Now, list down the factors of 4968
:1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968
Now, list down the factors of 5326
:1,2,2663,5326
Greatest Common Factor
We found the factors 4968,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,5326 is 2.
Lets's calculate LCM of 483,8049
| 3 | 483, 8049 |
| 161, 2683 |
∴ So the LCM of the given numbers is 3 x 161 x 2683 = 1295889
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1295889
Therefore, the GCF of Fractions 4968/483,5326/8049 is 2/1295889
Least Common Multiple of 483,8049 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 483,8049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,8049) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(483,8049) x common factors =3 x 1 = 3
LCM(483,8049) = ( 483 × 8049 ) / 3
LCM(483,8049) = 3887667 / 3
LCM(483,8049) = 1295889
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FAQs on GCF of Fractions of 4968/483, 5326/8049
1. What is the HCF of 4968,5326?
The HCF of 4968,5326 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 4968/483, 5326/8049?
Answer: GCF of Numerators as per given numbers 4968/483, 5326/8049 is
GCF of Numerators i.e. for 4968,5326 is 2
LCM of denominators i.e. for 483,8049 is 1295889.
Thus, GCF of Fractions is 2/1295889.Finally, GCF of Fractions for 4968/483, 5326/8049 is 2/1295889.