Use our free GCF of Fractions Calculator tool to compute the GCF of 309/970, 627/437 i.e 3/423890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 309/970, 627/437.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 309/970,627/437
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 309/970,627/437, numerators are 309,627
Denominators are 970,437
The GCF of 309,627 is 3 .
LCM of 970,437 is 423890.
The greatest common factor of 309/970,627/437 = [GCF of 309,627]/[LCM of 970,437]= 3/423890
Therefore, the GCF of 309/970,627/437 is 3/423890.
To find the highest common factor of 309,627, we have to find the factors of both numbers and list the highest common factor.
The factors of 309 are 1, 3, 103, 309
The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627
The HCF of 309,627 is 3.
Lets's calculate GCF of 309,627
3 | 309, 627 |
103, 209 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 309
:1,3,103,309
Now, list down the factors of 627
:1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 309,627 . The biggest common factor number is the GCF number.
So the greatest common factor 309,627 is 3.
Lets's calculate LCM of 970,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 423890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/423890
Therefore, the GCF of Fractions 309/970,627/437 is 3/423890
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 970,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,437) x common factors =1 x 1 = 1
LCM(970,437) = ( 970 × 437 ) / 1
LCM(970,437) = 423890 / 1
LCM(970,437) = 423890
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 309,627?
The HCF of 309,627 is 3
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 309/970, 627/437?
Answer: GCF of Numerators as per given numbers 309/970, 627/437 is
GCF of Numerators i.e. for 309,627 is 3
LCM of denominators i.e. for 970,437 is 423890.
Thus, GCF of Fractions is 3/423890.Finally, GCF of Fractions for 309/970, 627/437 is 3/423890.