Use our free GCF of Fractions Calculator tool to compute the GCF of 91/83, 26/922, 749/940 i.e 1/35967220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/83, 26/922, 749/940.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/83,26/922,749/940
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 91/83,26/922,749/940, numerators are 91,26,749
Denominators are 83,922,940
The GCF of 91,26,749 is 1 .
LCM of 83,922,940 is 35967220.
The greatest common factor of 91/83,26/922,749/940 = [GCF of 91,26,749]/[LCM of 83,922,940]= 1/35967220
Therefore, the GCF of 91/83,26/922,749/940 is 1/35967220.
To find the highest common factor of 91,26,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 91 are 1, 7, 13, 91
The factors of 26 are 1, 2, 13, 26
The factors of 749 are 1, 7, 107, 749
The HCF of 91,26,749 is 1.
Lets's calculate GCF of 91,26,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 91,26,749 . The biggest common factor number is the GCF number.
So the greatest common factor 91,26,749 is 1.
Lets's calculate LCM of 83,922,940
2 | 83, 922, 940 |
83, 461, 470 |
∴ So the LCM of the given numbers is 2 x 83 x 461 x 470 = 35967220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35967220
Therefore, the GCF of Fractions 91/83,26/922,749/940 is 1/35967220
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 83,922,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,922,940) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(83,922,940) x common factors =1 x 2 = 2
LCM(83,922,940) = ( 83 × 922 × 940 ) / 2
LCM(83,922,940) = 71934440 / 2
LCM(83,922,940) = 35967220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 91,26,749?
The HCF of 91,26,749 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 91/83, 26/922, 749/940?
Answer: GCF of Numerators as per given numbers 91/83, 26/922, 749/940 is
GCF of Numerators i.e. for 91,26,749 is 1
LCM of denominators i.e. for 83,922,940 is 35967220.
Thus, GCF of Fractions is 1/35967220.Finally, GCF of Fractions for 91/83, 26/922, 749/940 is 1/35967220.