Use our free GCF of Fractions Calculator tool to compute the GCF of 980/939, 406/313 i.e 14/939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/939, 406/313.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 980/939,406/313
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 980/939,406/313, numerators are 980,406
Denominators are 939,313
The GCF of 980,406 is 14 .
LCM of 939,313 is 939.
The greatest common factor of 980/939,406/313 = [GCF of 980,406]/[LCM of 939,313]= 14/939
Therefore, the GCF of 980/939,406/313 is 14/939.
To find the highest common factor of 980,406, we have to find the factors of both numbers and list the highest common factor.
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 980,406 is 14.
Lets's calculate GCF of 980,406
2 | 980, 406 |
7 | 490, 203 |
70, 29 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 980,406 . The biggest common factor number is the GCF number.
So the greatest common factor 980,406 is 14.
Lets's calculate LCM of 939,313
313 | 939, 313 |
3, 1 |
∴ So the LCM of the given numbers is 313 x 3 x 1 = 939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/939
Therefore, the GCF of Fractions 980/939,406/313 is 14/939
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 939,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,313) = 313
common factors(in case of two or more numbers have common factors) = 1
GCF(939,313) x common factors =313 x 1 = 313
LCM(939,313) = ( 939 × 313 ) / 313
LCM(939,313) = 293907 / 313
LCM(939,313) = 939
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 980,406?
The HCF of 980,406 is 14
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 980/939, 406/313?
Answer: GCF of Numerators as per given numbers 980/939, 406/313 is
GCF of Numerators i.e. for 980,406 is 14
LCM of denominators i.e. for 939,313 is 939.
Thus, GCF of Fractions is 14/939.Finally, GCF of Fractions for 980/939, 406/313 is 14/939.