Use our free GCF of Fractions Calculator tool to compute the GCF of 2981/834, 7759/8848 i.e 1/3689616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2981/834, 7759/8848.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2981/834,7759/8848
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 2981/834,7759/8848, numerators are 2981,7759
Denominators are 834,8848
The GCF of 2981,7759 is 1 .
LCM of 834,8848 is 3689616.
The greatest common factor of 2981/834,7759/8848 = [GCF of 2981,7759]/[LCM of 834,8848]= 1/3689616
Therefore, the GCF of 2981/834,7759/8848 is 1/3689616.
To find the highest common factor of 2981,7759, we have to find the factors of both numbers and list the highest common factor.
The factors of 2981 are 1, 11, 271, 2981
The factors of 7759 are 1, 7759
The HCF of 2981,7759 is 1.
Lets's calculate GCF of 2981,7759
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2981
:1,11,271,2981
Now, list down the factors of 7759
:1,7759
Greatest Common Factor
We found the factors 2981,7759 . The biggest common factor number is the GCF number.
So the greatest common factor 2981,7759 is 1.
Lets's calculate LCM of 834,8848
2 | 834, 8848 |
417, 4424 |
∴ So the LCM of the given numbers is 2 x 417 x 4424 = 3689616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3689616
Therefore, the GCF of Fractions 2981/834,7759/8848 is 1/3689616
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 834,8848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,8848) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,8848) x common factors =2 x 1 = 2
LCM(834,8848) = ( 834 × 8848 ) / 2
LCM(834,8848) = 7379232 / 2
LCM(834,8848) = 3689616
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2981,7759?
The HCF of 2981,7759 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 2981/834, 7759/8848?
Answer: GCF of Numerators as per given numbers 2981/834, 7759/8848 is
GCF of Numerators i.e. for 2981,7759 is 1
LCM of denominators i.e. for 834,8848 is 3689616.
Thus, GCF of Fractions is 1/3689616.Finally, GCF of Fractions for 2981/834, 7759/8848 is 1/3689616.