Use our free GCF of Fractions Calculator tool to compute the GCF of 8134/451, 3038/2569 i.e 98/1158619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8134/451, 3038/2569.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8134/451,3038/2569
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 8134/451,3038/2569, numerators are 8134,3038
Denominators are 451,2569
The GCF of 8134,3038 is 98 .
LCM of 451,2569 is 1158619.
The greatest common factor of 8134/451,3038/2569 = [GCF of 8134,3038]/[LCM of 451,2569]= 98/1158619
Therefore, the GCF of 8134/451,3038/2569 is 98/1158619.
To find the highest common factor of 8134,3038, we have to find the factors of both numbers and list the highest common factor.
The factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134
The factors of 3038 are 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519, 3038
The HCF of 8134,3038 is 98.
Lets's calculate GCF of 8134,3038
2 | 8134, 3038 |
7 | 4067, 1519 |
7 | 581, 217 |
83, 31 |
∴ So the GCF of the given numbers is 2 x 7 x 7 = 98
Now, list down the factors of 8134
:1,2,7,14,49,83,98,166,581,1162,4067,8134
Now, list down the factors of 3038
:1,2,7,14,31,49,62,98,217,434,1519,3038
Greatest Common Factor
We found the factors 8134,3038 . The biggest common factor number is the GCF number.
So the greatest common factor 8134,3038 is 98.
Lets's calculate LCM of 451,2569
Given numbers has no common factors except 1. So, there LCM is their product i.e 1158619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 98/1158619
Therefore, the GCF of Fractions 8134/451,3038/2569 is 98/1158619
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 451,2569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,2569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,2569) x common factors =1 x 1 = 1
LCM(451,2569) = ( 451 × 2569 ) / 1
LCM(451,2569) = 1158619 / 1
LCM(451,2569) = 1158619
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8134,3038?
The HCF of 8134,3038 is 98
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 8134/451, 3038/2569?
Answer: GCF of Numerators as per given numbers 8134/451, 3038/2569 is
GCF of Numerators i.e. for 8134,3038 is 98
LCM of denominators i.e. for 451,2569 is 1158619.
Thus, GCF of Fractions is 98/1158619.Finally, GCF of Fractions for 8134/451, 3038/2569 is 98/1158619.