Use our free GCF of Fractions Calculator tool to compute the GCF of 5959/748, 5454/8360 i.e 101/142120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5959/748, 5454/8360.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5959/748,5454/8360
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 5959/748,5454/8360, numerators are 5959,5454
Denominators are 748,8360
The GCF of 5959,5454 is 101 .
LCM of 748,8360 is 142120.
The greatest common factor of 5959/748,5454/8360 = [GCF of 5959,5454]/[LCM of 748,8360]= 101/142120
Therefore, the GCF of 5959/748,5454/8360 is 101/142120.
To find the highest common factor of 5959,5454, we have to find the factors of both numbers and list the highest common factor.
The factors of 5959 are 1, 59, 101, 5959
The factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454
The HCF of 5959,5454 is 101.
Lets's calculate GCF of 5959,5454
101 | 5959, 5454 |
59, 54 |
∴ So the GCF of the given numbers is 101 = 101
Now, list down the factors of 5959
:1,59,101,5959
Now, list down the factors of 5454
:1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Greatest Common Factor
We found the factors 5959,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 5959,5454 is 101.
Lets's calculate LCM of 748,8360
2 | 748, 8360 |
2 | 374, 4180 |
11 | 187, 2090 |
17, 190 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 190 = 142120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/142120
Therefore, the GCF of Fractions 5959/748,5454/8360 is 101/142120
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 748,8360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,8360) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(748,8360) x common factors =44 x 1 = 44
LCM(748,8360) = ( 748 × 8360 ) / 44
LCM(748,8360) = 6253280 / 44
LCM(748,8360) = 142120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5959,5454?
The HCF of 5959,5454 is 101
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 5959/748, 5454/8360?
Answer: GCF of Numerators as per given numbers 5959/748, 5454/8360 is
GCF of Numerators i.e. for 5959,5454 is 101
LCM of denominators i.e. for 748,8360 is 142120.
Thus, GCF of Fractions is 101/142120.Finally, GCF of Fractions for 5959/748, 5454/8360 is 101/142120.