GCF of 5436/464, 1388/5471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5436/464, 1388/5471 i.e 4/2538544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5436/464, 1388/5471.
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 5436/464,1388/5471?
Given fractions are 5436/464,1388/5471
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 5436/464,1388/5471, numerators are 5436,1388
Denominators are 464,5471
The GCF of 5436,1388 is 4 .
LCM of 464,5471 is 2538544.
The greatest common factor of 5436/464,1388/5471 = [GCF of 5436,1388]/[LCM of 464,5471]= 4/2538544
Therefore, the GCF of 5436/464,1388/5471 is 4/2538544.
To find the highest common factor of 5436,1388, we have to find the factors of both numbers and list the highest common factor.
The factors of 5436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436
The factors of 1388 are 1, 2, 4, 347, 694, 1388
The HCF of 5436,1388 is 4.
Lets's calculate GCF of 5436,1388
| 2 | 5436, 1388 |
| 2 | 2718, 694 |
| 1359, 347 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5436,1388 By Matching Biggest Common Factor Method
Now, list down the factors of 5436
:1,2,3,4,6,9,12,18,36,151,302,453,604,906,1359,1812,2718,5436
Now, list down the factors of 1388
:1,2,4,347,694,1388
Greatest Common Factor
We found the factors 5436,1388 . The biggest common factor number is the GCF number.
So the greatest common factor 5436,1388 is 4.
Lets's calculate LCM of 464,5471
Given numbers has no common factors except 1. So, there LCM is their product i.e 2538544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2538544
Therefore, the GCF of Fractions 5436/464,1388/5471 is 4/2538544
Least Common Multiple of 464,5471 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 464,5471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,5471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,5471) x common factors =1 x 1 = 1
LCM(464,5471) = ( 464 × 5471 ) / 1
LCM(464,5471) = 2538544 / 1
LCM(464,5471) = 2538544
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5436/464, 1388/5471
1. What is the HCF of 5436,1388?
The HCF of 5436,1388 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 5436/464, 1388/5471?
Answer: GCF of Numerators as per given numbers 5436/464, 1388/5471 is
GCF of Numerators i.e. for 5436,1388 is 4
LCM of denominators i.e. for 464,5471 is 2538544.
Thus, GCF of Fractions is 4/2538544.Finally, GCF of Fractions for 5436/464, 1388/5471 is 4/2538544.