Use our free GCF of Fractions Calculator tool to compute the GCF of 676/976, 740/366 i.e 4/2928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 676/976, 740/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 676/976,740/366
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 676/976,740/366, numerators are 676,740
Denominators are 976,366
The GCF of 676,740 is 4 .
LCM of 976,366 is 2928.
The greatest common factor of 676/976,740/366 = [GCF of 676,740]/[LCM of 976,366]= 4/2928
Therefore, the GCF of 676/976,740/366 is 4/2928.
To find the highest common factor of 676,740, we have to find the factors of both numbers and list the highest common factor.
The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 676,740 is 4.
Lets's calculate GCF of 676,740
2 | 676, 740 |
2 | 338, 370 |
169, 185 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 676
:1,2,4,13,26,52,169,338,676
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 676,740 . The biggest common factor number is the GCF number.
So the greatest common factor 676,740 is 4.
Lets's calculate LCM of 976,366
2 | 976, 366 |
61 | 488, 183 |
8, 3 |
∴ So the LCM of the given numbers is 2 x 61 x 8 x 3 = 2928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2928
Therefore, the GCF of Fractions 676/976,740/366 is 4/2928
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 976,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,366) = 122
common factors(in case of two or more numbers have common factors) = 1
GCF(976,366) x common factors =122 x 1 = 122
LCM(976,366) = ( 976 × 366 ) / 122
LCM(976,366) = 357216 / 122
LCM(976,366) = 2928
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 676,740?
The HCF of 676,740 is 4
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 676/976, 740/366?
Answer: GCF of Numerators as per given numbers 676/976, 740/366 is
GCF of Numerators i.e. for 676,740 is 4
LCM of denominators i.e. for 976,366 is 2928.
Thus, GCF of Fractions is 4/2928.Finally, GCF of Fractions for 676/976, 740/366 is 4/2928.