Use our free GCF of Fractions Calculator tool to compute the GCF of 676/690, 351/738 i.e 13/84870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 676/690, 351/738.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 676/690,351/738
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 676/690,351/738, numerators are 676,351
Denominators are 690,738
The GCF of 676,351 is 13 .
LCM of 690,738 is 84870.
The greatest common factor of 676/690,351/738 = [GCF of 676,351]/[LCM of 690,738]= 13/84870
Therefore, the GCF of 676/690,351/738 is 13/84870.
To find the highest common factor of 676,351, 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 351 are 1, 3, 9, 13, 27, 39, 117, 351
The HCF of 676,351 is 13.
Lets's calculate GCF of 676,351
13 | 676, 351 |
52, 27 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 676
:1,2,4,13,26,52,169,338,676
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 676,351 . The biggest common factor number is the GCF number.
So the greatest common factor 676,351 is 13.
Lets's calculate LCM of 690,738
2 | 690, 738 |
3 | 345, 369 |
115, 123 |
∴ So the LCM of the given numbers is 2 x 3 x 115 x 123 = 84870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/84870
Therefore, the GCF of Fractions 676/690,351/738 is 13/84870
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 690,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,738) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(690,738) x common factors =6 x 1 = 6
LCM(690,738) = ( 690 × 738 ) / 6
LCM(690,738) = 509220 / 6
LCM(690,738) = 84870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 676,351?
The HCF of 676,351 is 13
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 676/690, 351/738?
Answer: GCF of Numerators as per given numbers 676/690, 351/738 is
GCF of Numerators i.e. for 676,351 is 13
LCM of denominators i.e. for 690,738 is 84870.
Thus, GCF of Fractions is 13/84870.Finally, GCF of Fractions for 676/690, 351/738 is 13/84870.