GCF of 5475/908, 7824/8134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5475/908, 7824/8134 i.e 3/3692836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5475/908, 7824/8134.
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 5475/908,7824/8134?
Given fractions are 5475/908,7824/8134
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 5475/908,7824/8134, numerators are 5475,7824
Denominators are 908,8134
The GCF of 5475,7824 is 3 .
LCM of 908,8134 is 3692836.
The greatest common factor of 5475/908,7824/8134 = [GCF of 5475,7824]/[LCM of 908,8134]= 3/3692836
Therefore, the GCF of 5475/908,7824/8134 is 3/3692836.
To find the highest common factor of 5475,7824, we have to find the factors of both numbers and list the highest common factor.
The factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475
The factors of 7824 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824
The HCF of 5475,7824 is 3.
Lets's calculate GCF of 5475,7824
| 3 | 5475, 7824 |
| 1825, 2608 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5475,7824 By Matching Biggest Common Factor Method
Now, list down the factors of 5475
:1,3,5,15,25,73,75,219,365,1095,1825,5475
Now, list down the factors of 7824
:1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824
Greatest Common Factor
We found the factors 5475,7824 . The biggest common factor number is the GCF number.
So the greatest common factor 5475,7824 is 3.
Lets's calculate LCM of 908,8134
| 2 | 908, 8134 |
| 454, 4067 |
∴ So the LCM of the given numbers is 2 x 454 x 4067 = 3692836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3692836
Therefore, the GCF of Fractions 5475/908,7824/8134 is 3/3692836
Least Common Multiple of 908,8134 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 908,8134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,8134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(908,8134) x common factors =2 x 1 = 2
LCM(908,8134) = ( 908 × 8134 ) / 2
LCM(908,8134) = 7385672 / 2
LCM(908,8134) = 3692836
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5475/908, 7824/8134
1. What is the HCF of 5475,7824?
The HCF of 5475,7824 is 3
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 5475/908, 7824/8134?
Answer: GCF of Numerators as per given numbers 5475/908, 7824/8134 is
GCF of Numerators i.e. for 5475,7824 is 3
LCM of denominators i.e. for 908,8134 is 3692836.
Thus, GCF of Fractions is 3/3692836.Finally, GCF of Fractions for 5475/908, 7824/8134 is 3/3692836.