GCF of 5538/632, 1365/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5538/632, 1365/741 i.e 39/468312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5538/632, 1365/741.
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 5538/632,1365/741?
Given fractions are 5538/632,1365/741
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 5538/632,1365/741, numerators are 5538,1365
Denominators are 632,741
The GCF of 5538,1365 is 39 .
LCM of 632,741 is 468312.
The greatest common factor of 5538/632,1365/741 = [GCF of 5538,1365]/[LCM of 632,741]= 39/468312
Therefore, the GCF of 5538/632,1365/741 is 39/468312.
To find the highest common factor of 5538,1365, we have to find the factors of both numbers and list the highest common factor.
The factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538
The factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365
The HCF of 5538,1365 is 39.
Lets's calculate GCF of 5538,1365
| 3 | 5538, 1365 |
| 13 | 1846, 455 |
| 142, 35 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 5538,1365 By Matching Biggest Common Factor Method
Now, list down the factors of 5538
:1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538
Now, list down the factors of 1365
:1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365
Greatest Common Factor
We found the factors 5538,1365 . The biggest common factor number is the GCF number.
So the greatest common factor 5538,1365 is 39.
Lets's calculate LCM of 632,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 468312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/468312
Therefore, the GCF of Fractions 5538/632,1365/741 is 39/468312
Least Common Multiple of 632,741 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 632,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,741) x common factors =1 x 1 = 1
LCM(632,741) = ( 632 × 741 ) / 1
LCM(632,741) = 468312 / 1
LCM(632,741) = 468312
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5538/632, 1365/741
1. What is the HCF of 5538,1365?
The HCF of 5538,1365 is 39
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 5538/632, 1365/741?
Answer: GCF of Numerators as per given numbers 5538/632, 1365/741 is
GCF of Numerators i.e. for 5538,1365 is 39
LCM of denominators i.e. for 632,741 is 468312.
Thus, GCF of Fractions is 39/468312.Finally, GCF of Fractions for 5538/632, 1365/741 is 39/468312.