Use our free GCF of Fractions Calculator tool to compute the GCF of 68/968, 771/395, 281/407 i.e 1/14147320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/968, 771/395, 281/407.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/968,771/395,281/407
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 68/968,771/395,281/407, numerators are 68,771,281
Denominators are 968,395,407
The GCF of 68,771,281 is 1 .
LCM of 968,395,407 is 14147320.
The greatest common factor of 68/968,771/395,281/407 = [GCF of 68,771,281]/[LCM of 968,395,407]= 1/14147320
Therefore, the GCF of 68/968,771/395,281/407 is 1/14147320.
To find the highest common factor of 68,771,281, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 771 are 1, 3, 257, 771
The factors of 281 are 1, 281
The HCF of 68,771,281 is 1.
Lets's calculate GCF of 68,771,281
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 771
:1,3,257,771
Now, list down the factors of 281
:1,281
Greatest Common Factor
We found the factors 68,771,281 . The biggest common factor number is the GCF number.
So the greatest common factor 68,771,281 is 1.
Lets's calculate LCM of 968,395,407
11 | 968, 395, 407 |
88, 395, 37 |
∴ So the LCM of the given numbers is 11 x 88 x 395 x 37 = 14147320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14147320
Therefore, the GCF of Fractions 68/968,771/395,281/407 is 1/14147320
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 968,395,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,395,407) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(968,395,407) x common factors =1 x 11 = 11
LCM(968,395,407) = ( 968 × 395 × 407 ) / 11
LCM(968,395,407) = 155620520 / 11
LCM(968,395,407) = 14147320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 68,771,281?
The HCF of 68,771,281 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 68/968, 771/395, 281/407?
Answer: GCF of Numerators as per given numbers 68/968, 771/395, 281/407 is
GCF of Numerators i.e. for 68,771,281 is 1
LCM of denominators i.e. for 968,395,407 is 14147320.
Thus, GCF of Fractions is 1/14147320.Finally, GCF of Fractions for 68/968, 771/395, 281/407 is 1/14147320.