GCF of 5264/310, 5744/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5264/310, 5744/382 i.e 16/59210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5264/310, 5744/382.
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 5264/310,5744/382?
Given fractions are 5264/310,5744/382
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 5264/310,5744/382, numerators are 5264,5744
Denominators are 310,382
The GCF of 5264,5744 is 16 .
LCM of 310,382 is 59210.
The greatest common factor of 5264/310,5744/382 = [GCF of 5264,5744]/[LCM of 310,382]= 16/59210
Therefore, the GCF of 5264/310,5744/382 is 16/59210.
To find the highest common factor of 5264,5744, we have to find the factors of both numbers and list the highest common factor.
The factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264
The factors of 5744 are 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744
The HCF of 5264,5744 is 16.
Lets's calculate GCF of 5264,5744
| 2 | 5264, 5744 |
| 2 | 2632, 2872 |
| 2 | 1316, 1436 |
| 2 | 658, 718 |
| 329, 359 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5264,5744 By Matching Biggest Common Factor Method
Now, list down the factors of 5264
:1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264
Now, list down the factors of 5744
:1,2,4,8,16,359,718,1436,2872,5744
Greatest Common Factor
We found the factors 5264,5744 . The biggest common factor number is the GCF number.
So the greatest common factor 5264,5744 is 16.
Lets's calculate LCM of 310,382
| 2 | 310, 382 |
| 155, 191 |
∴ So the LCM of the given numbers is 2 x 155 x 191 = 59210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/59210
Therefore, the GCF of Fractions 5264/310,5744/382 is 16/59210
Least Common Multiple of 310,382 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 310,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,382) x common factors =2 x 1 = 2
LCM(310,382) = ( 310 × 382 ) / 2
LCM(310,382) = 118420 / 2
LCM(310,382) = 59210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5264/310, 5744/382
1. What is the HCF of 5264,5744?
The HCF of 5264,5744 is 16
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 5264/310, 5744/382?
Answer: GCF of Numerators as per given numbers 5264/310, 5744/382 is
GCF of Numerators i.e. for 5264,5744 is 16
LCM of denominators i.e. for 310,382 is 59210.
Thus, GCF of Fractions is 16/59210.Finally, GCF of Fractions for 5264/310, 5744/382 is 16/59210.