GCF of 1388/810, 8620/6848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1388/810, 8620/6848 i.e 4/2773440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1388/810, 8620/6848.
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 1388/810,8620/6848?
Given fractions are 1388/810,8620/6848
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 1388/810,8620/6848, numerators are 1388,8620
Denominators are 810,6848
The GCF of 1388,8620 is 4 .
LCM of 810,6848 is 2773440.
The greatest common factor of 1388/810,8620/6848 = [GCF of 1388,8620]/[LCM of 810,6848]= 4/2773440
Therefore, the GCF of 1388/810,8620/6848 is 4/2773440.
To find the highest common factor of 1388,8620, we have to find the factors of both numbers and list the highest common factor.
The factors of 1388 are 1, 2, 4, 347, 694, 1388
The factors of 8620 are 1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620
The HCF of 1388,8620 is 4.
Lets's calculate GCF of 1388,8620
| 2 | 1388, 8620 |
| 2 | 694, 4310 |
| 347, 2155 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1388,8620 By Matching Biggest Common Factor Method
Now, list down the factors of 1388
:1,2,4,347,694,1388
Now, list down the factors of 8620
:1,2,4,5,10,20,431,862,1724,2155,4310,8620
Greatest Common Factor
We found the factors 1388,8620 . The biggest common factor number is the GCF number.
So the greatest common factor 1388,8620 is 4.
Lets's calculate LCM of 810,6848
| 2 | 810, 6848 |
| 405, 3424 |
∴ So the LCM of the given numbers is 2 x 405 x 3424 = 2773440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2773440
Therefore, the GCF of Fractions 1388/810,8620/6848 is 4/2773440
Least Common Multiple of 810,6848 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 810,6848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,6848) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,6848) x common factors =2 x 1 = 2
LCM(810,6848) = ( 810 × 6848 ) / 2
LCM(810,6848) = 5546880 / 2
LCM(810,6848) = 2773440
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FAQs on GCF of Fractions of 1388/810, 8620/6848
1. What is the HCF of 1388,8620?
The HCF of 1388,8620 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 1388/810, 8620/6848?
Answer: GCF of Numerators as per given numbers 1388/810, 8620/6848 is
GCF of Numerators i.e. for 1388,8620 is 4
LCM of denominators i.e. for 810,6848 is 2773440.
Thus, GCF of Fractions is 4/2773440.Finally, GCF of Fractions for 1388/810, 8620/6848 is 4/2773440.