Use our free GCF of Fractions Calculator tool to compute the GCF of 1267/813, 2477/3291 i.e 1/891861 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1267/813, 2477/3291.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1267/813,2477/3291
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 1267/813,2477/3291, numerators are 1267,2477
Denominators are 813,3291
The GCF of 1267,2477 is 1 .
LCM of 813,3291 is 891861.
The greatest common factor of 1267/813,2477/3291 = [GCF of 1267,2477]/[LCM of 813,3291]= 1/891861
Therefore, the GCF of 1267/813,2477/3291 is 1/891861.
To find the highest common factor of 1267,2477, we have to find the factors of both numbers and list the highest common factor.
The factors of 1267 are 1, 7, 181, 1267
The factors of 2477 are 1, 2477
The HCF of 1267,2477 is 1.
Lets's calculate GCF of 1267,2477
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1267
:1,7,181,1267
Now, list down the factors of 2477
:1,2477
Greatest Common Factor
We found the factors 1267,2477 . The biggest common factor number is the GCF number.
So the greatest common factor 1267,2477 is 1.
Lets's calculate LCM of 813,3291
3 | 813, 3291 |
271, 1097 |
∴ So the LCM of the given numbers is 3 x 271 x 1097 = 891861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891861
Therefore, the GCF of Fractions 1267/813,2477/3291 is 1/891861
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 813,3291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,3291) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,3291) x common factors =3 x 1 = 3
LCM(813,3291) = ( 813 × 3291 ) / 3
LCM(813,3291) = 2675583 / 3
LCM(813,3291) = 891861
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1267,2477?
The HCF of 1267,2477 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 1267/813, 2477/3291?
Answer: GCF of Numerators as per given numbers 1267/813, 2477/3291 is
GCF of Numerators i.e. for 1267,2477 is 1
LCM of denominators i.e. for 813,3291 is 891861.
Thus, GCF of Fractions is 1/891861.Finally, GCF of Fractions for 1267/813, 2477/3291 is 1/891861.