Use our free GCF of Fractions Calculator tool to compute the GCF of 2573/802, 6119/5086 i.e 1/2039486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2573/802, 6119/5086.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2573/802,6119/5086
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 2573/802,6119/5086, numerators are 2573,6119
Denominators are 802,5086
The GCF of 2573,6119 is 1 .
LCM of 802,5086 is 2039486.
The greatest common factor of 2573/802,6119/5086 = [GCF of 2573,6119]/[LCM of 802,5086]= 1/2039486
Therefore, the GCF of 2573/802,6119/5086 is 1/2039486.
To find the highest common factor of 2573,6119, we have to find the factors of both numbers and list the highest common factor.
The factors of 2573 are 1, 31, 83, 2573
The factors of 6119 are 1, 29, 211, 6119
The HCF of 2573,6119 is 1.
Lets's calculate GCF of 2573,6119
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2573
:1,31,83,2573
Now, list down the factors of 6119
:1,29,211,6119
Greatest Common Factor
We found the factors 2573,6119 . The biggest common factor number is the GCF number.
So the greatest common factor 2573,6119 is 1.
Lets's calculate LCM of 802,5086
2 | 802, 5086 |
401, 2543 |
∴ So the LCM of the given numbers is 2 x 401 x 2543 = 2039486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2039486
Therefore, the GCF of Fractions 2573/802,6119/5086 is 1/2039486
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 802,5086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,5086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,5086) x common factors =2 x 1 = 2
LCM(802,5086) = ( 802 × 5086 ) / 2
LCM(802,5086) = 4078972 / 2
LCM(802,5086) = 2039486
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2573,6119?
The HCF of 2573,6119 is 1
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 2573/802, 6119/5086?
Answer: GCF of Numerators as per given numbers 2573/802, 6119/5086 is
GCF of Numerators i.e. for 2573,6119 is 1
LCM of denominators i.e. for 802,5086 is 2039486.
Thus, GCF of Fractions is 1/2039486.Finally, GCF of Fractions for 2573/802, 6119/5086 is 1/2039486.