Use our free GCF of Fractions Calculator tool to compute the GCF of 1954/881, 1148/2819 i.e 2/2483539 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1954/881, 1148/2819.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1954/881,1148/2819
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 1954/881,1148/2819, numerators are 1954,1148
Denominators are 881,2819
The GCF of 1954,1148 is 2 .
LCM of 881,2819 is 2483539.
The greatest common factor of 1954/881,1148/2819 = [GCF of 1954,1148]/[LCM of 881,2819]= 2/2483539
Therefore, the GCF of 1954/881,1148/2819 is 2/2483539.
To find the highest common factor of 1954,1148, we have to find the factors of both numbers and list the highest common factor.
The factors of 1954 are 1, 2, 977, 1954
The factors of 1148 are 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148
The HCF of 1954,1148 is 2.
Lets's calculate GCF of 1954,1148
2 | 1954, 1148 |
977, 574 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1954
:1,2,977,1954
Now, list down the factors of 1148
:1,2,4,7,14,28,41,82,164,287,574,1148
Greatest Common Factor
We found the factors 1954,1148 . The biggest common factor number is the GCF number.
So the greatest common factor 1954,1148 is 2.
Lets's calculate LCM of 881,2819
Given numbers has no common factors except 1. So, there LCM is their product i.e 2483539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2483539
Therefore, the GCF of Fractions 1954/881,1148/2819 is 2/2483539
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 881,2819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,2819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,2819) x common factors =1 x 1 = 1
LCM(881,2819) = ( 881 × 2819 ) / 1
LCM(881,2819) = 2483539 / 1
LCM(881,2819) = 2483539
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1954,1148?
The HCF of 1954,1148 is 2
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 1954/881, 1148/2819?
Answer: GCF of Numerators as per given numbers 1954/881, 1148/2819 is
GCF of Numerators i.e. for 1954,1148 is 2
LCM of denominators i.e. for 881,2819 is 2483539.
Thus, GCF of Fractions is 2/2483539.Finally, GCF of Fractions for 1954/881, 1148/2819 is 2/2483539.