Use our free GCF of Fractions Calculator tool to compute the GCF of 970/115, 218/290 i.e 2/6670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/115, 218/290.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/115,218/290
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 970/115,218/290, numerators are 970,218
Denominators are 115,290
The GCF of 970,218 is 2 .
LCM of 115,290 is 6670.
The greatest common factor of 970/115,218/290 = [GCF of 970,218]/[LCM of 115,290]= 2/6670
Therefore, the GCF of 970/115,218/290 is 2/6670.
To find the highest common factor of 970,218, we have to find the factors of both numbers and list the highest common factor.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 218 are 1, 2, 109, 218
The HCF of 970,218 is 2.
Lets's calculate GCF of 970,218
2 | 970, 218 |
485, 109 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 218
:1,2,109,218
Greatest Common Factor
We found the factors 970,218 . The biggest common factor number is the GCF number.
So the greatest common factor 970,218 is 2.
Lets's calculate LCM of 115,290
5 | 115, 290 |
23, 58 |
∴ So the LCM of the given numbers is 5 x 23 x 58 = 6670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6670
Therefore, the GCF of Fractions 970/115,218/290 is 2/6670
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 115,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,290) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(115,290) x common factors =5 x 1 = 5
LCM(115,290) = ( 115 × 290 ) / 5
LCM(115,290) = 33350 / 5
LCM(115,290) = 6670
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 970,218?
The HCF of 970,218 is 2
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 970/115, 218/290?
Answer: GCF of Numerators as per given numbers 970/115, 218/290 is
GCF of Numerators i.e. for 970,218 is 2
LCM of denominators i.e. for 115,290 is 6670.
Thus, GCF of Fractions is 2/6670.Finally, GCF of Fractions for 970/115, 218/290 is 2/6670.