Use our free GCF of Fractions Calculator tool to compute the GCF of 1828/808, 6973/3130 i.e 1/1264520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1828/808, 6973/3130.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1828/808,6973/3130
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 1828/808,6973/3130, numerators are 1828,6973
Denominators are 808,3130
The GCF of 1828,6973 is 1 .
LCM of 808,3130 is 1264520.
The greatest common factor of 1828/808,6973/3130 = [GCF of 1828,6973]/[LCM of 808,3130]= 1/1264520
Therefore, the GCF of 1828/808,6973/3130 is 1/1264520.
To find the highest common factor of 1828,6973, we have to find the factors of both numbers and list the highest common factor.
The factors of 1828 are 1, 2, 4, 457, 914, 1828
The factors of 6973 are 1, 19, 367, 6973
The HCF of 1828,6973 is 1.
Lets's calculate GCF of 1828,6973
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1828
:1,2,4,457,914,1828
Now, list down the factors of 6973
:1,19,367,6973
Greatest Common Factor
We found the factors 1828,6973 . The biggest common factor number is the GCF number.
So the greatest common factor 1828,6973 is 1.
Lets's calculate LCM of 808,3130
2 | 808, 3130 |
404, 1565 |
∴ So the LCM of the given numbers is 2 x 404 x 1565 = 1264520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1264520
Therefore, the GCF of Fractions 1828/808,6973/3130 is 1/1264520
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 808,3130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,3130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(808,3130) x common factors =2 x 1 = 2
LCM(808,3130) = ( 808 × 3130 ) / 2
LCM(808,3130) = 2529040 / 2
LCM(808,3130) = 1264520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1828,6973?
The HCF of 1828,6973 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 1828/808, 6973/3130?
Answer: GCF of Numerators as per given numbers 1828/808, 6973/3130 is
GCF of Numerators i.e. for 1828,6973 is 1
LCM of denominators i.e. for 808,3130 is 1264520.
Thus, GCF of Fractions is 1/1264520.Finally, GCF of Fractions for 1828/808, 6973/3130 is 1/1264520.