Use our free GCF of Fractions Calculator tool to compute the GCF of 6/970, 9/631 i.e 3/612070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/970, 9/631.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/970,9/631
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 6/970,9/631, numerators are 6,9
Denominators are 970,631
The GCF of 6,9 is 3 .
LCM of 970,631 is 612070.
The greatest common factor of 6/970,9/631 = [GCF of 6,9]/[LCM of 970,631]= 3/612070
Therefore, the GCF of 6/970,9/631 is 3/612070.
To find the highest common factor of 6,9, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 9 are 1, 3, 9
The HCF of 6,9 is 3.
Lets's calculate GCF of 6,9
3 | 6, 9 |
2, 3 |
∴ So the GCF of the given numbers is 3 = 3
Lets's calculate LCM of 970,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 612070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/612070
Therefore, the GCF of Fractions 6/970,9/631 is 3/612070
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 970,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,631) x common factors =1 x 1 = 1
LCM(970,631) = ( 970 × 631 ) / 1
LCM(970,631) = 612070 / 1
LCM(970,631) = 612070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6,9?
The HCF of 6,9 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 6/970, 9/631?
Answer: GCF of Numerators as per given numbers 6/970, 9/631 is
GCF of Numerators i.e. for 6,9 is 3
LCM of denominators i.e. for 970,631 is 612070.
Thus, GCF of Fractions is 3/612070.Finally, GCF of Fractions for 6/970, 9/631 is 3/612070.