GCF of 4248/459, 9764/6273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4248/459, 9764/6273 i.e 4/18819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4248/459, 9764/6273.
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 4248/459,9764/6273?
Given fractions are 4248/459,9764/6273
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 4248/459,9764/6273, numerators are 4248,9764
Denominators are 459,6273
The GCF of 4248,9764 is 4 .
LCM of 459,6273 is 18819.
The greatest common factor of 4248/459,9764/6273 = [GCF of 4248,9764]/[LCM of 459,6273]= 4/18819
Therefore, the GCF of 4248/459,9764/6273 is 4/18819.
To find the highest common factor of 4248,9764, we have to find the factors of both numbers and list the highest common factor.
The factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248
The factors of 9764 are 1, 2, 4, 2441, 4882, 9764
The HCF of 4248,9764 is 4.
Lets's calculate GCF of 4248,9764
| 2 | 4248, 9764 |
| 2 | 2124, 4882 |
| 1062, 2441 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4248,9764 By Matching Biggest Common Factor Method
Now, list down the factors of 4248
:1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248
Now, list down the factors of 9764
:1,2,4,2441,4882,9764
Greatest Common Factor
We found the factors 4248,9764 . The biggest common factor number is the GCF number.
So the greatest common factor 4248,9764 is 4.
Lets's calculate LCM of 459,6273
| 3 | 459, 6273 |
| 3 | 153, 2091 |
| 17 | 51, 697 |
| 3, 41 |
∴ So the LCM of the given numbers is 3 x 3 x 17 x 3 x 41 = 18819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/18819
Therefore, the GCF of Fractions 4248/459,9764/6273 is 4/18819
Least Common Multiple of 459,6273 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 459,6273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,6273) = 153
common factors(in case of two or more numbers have common factors) = 1
GCF(459,6273) x common factors =153 x 1 = 153
LCM(459,6273) = ( 459 × 6273 ) / 153
LCM(459,6273) = 2879307 / 153
LCM(459,6273) = 18819
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FAQs on GCF of Fractions of 4248/459, 9764/6273
1. What is the HCF of 4248,9764?
The HCF of 4248,9764 is 4
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 4248/459, 9764/6273?
Answer: GCF of Numerators as per given numbers 4248/459, 9764/6273 is
GCF of Numerators i.e. for 4248,9764 is 4
LCM of denominators i.e. for 459,6273 is 18819.
Thus, GCF of Fractions is 4/18819.Finally, GCF of Fractions for 4248/459, 9764/6273 is 4/18819.