GCF of 2448/318, 4040/2764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2448/318, 4040/2764 i.e 8/439476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2448/318, 4040/2764.
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 2448/318,4040/2764?
Given fractions are 2448/318,4040/2764
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 2448/318,4040/2764, numerators are 2448,4040
Denominators are 318,2764
The GCF of 2448,4040 is 8 .
LCM of 318,2764 is 439476.
The greatest common factor of 2448/318,4040/2764 = [GCF of 2448,4040]/[LCM of 318,2764]= 8/439476
Therefore, the GCF of 2448/318,4040/2764 is 8/439476.
To find the highest common factor of 2448,4040, we have to find the factors of both numbers and list the highest common factor.
The factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448
The factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040
The HCF of 2448,4040 is 8.
Lets's calculate GCF of 2448,4040
| 2 | 2448, 4040 |
| 2 | 1224, 2020 |
| 2 | 612, 1010 |
| 306, 505 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2448,4040 By Matching Biggest Common Factor Method
Now, list down the factors of 2448
:1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448
Now, list down the factors of 4040
:1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040
Greatest Common Factor
We found the factors 2448,4040 . The biggest common factor number is the GCF number.
So the greatest common factor 2448,4040 is 8.
Lets's calculate LCM of 318,2764
| 2 | 318, 2764 |
| 159, 1382 |
∴ So the LCM of the given numbers is 2 x 159 x 1382 = 439476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/439476
Therefore, the GCF of Fractions 2448/318,4040/2764 is 8/439476
Least Common Multiple of 318,2764 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 318,2764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,2764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,2764) x common factors =2 x 1 = 2
LCM(318,2764) = ( 318 × 2764 ) / 2
LCM(318,2764) = 878952 / 2
LCM(318,2764) = 439476
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FAQs on GCF of Fractions of 2448/318, 4040/2764
1. What is the HCF of 2448,4040?
The HCF of 2448,4040 is 8
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 2448/318, 4040/2764?
Answer: GCF of Numerators as per given numbers 2448/318, 4040/2764 is
GCF of Numerators i.e. for 2448,4040 is 8
LCM of denominators i.e. for 318,2764 is 439476.
Thus, GCF of Fractions is 8/439476.Finally, GCF of Fractions for 2448/318, 4040/2764 is 8/439476.