Use our free GCF of Fractions Calculator tool to compute the GCF of 122/805, 313/915 i.e 1/147315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 122/805, 313/915.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 122/805,313/915
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 122/805,313/915, numerators are 122,313
Denominators are 805,915
The GCF of 122,313 is 1 .
LCM of 805,915 is 147315.
The greatest common factor of 122/805,313/915 = [GCF of 122,313]/[LCM of 805,915]= 1/147315
Therefore, the GCF of 122/805,313/915 is 1/147315.
To find the highest common factor of 122,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 122 are 1, 2, 61, 122
The factors of 313 are 1, 313
The HCF of 122,313 is 1.
Lets's calculate GCF of 122,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 122
:1,2,61,122
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 122,313 . The biggest common factor number is the GCF number.
So the greatest common factor 122,313 is 1.
Lets's calculate LCM of 805,915
5 | 805, 915 |
161, 183 |
∴ So the LCM of the given numbers is 5 x 161 x 183 = 147315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147315
Therefore, the GCF of Fractions 122/805,313/915 is 1/147315
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 805,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,915) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(805,915) x common factors =5 x 1 = 5
LCM(805,915) = ( 805 × 915 ) / 5
LCM(805,915) = 736575 / 5
LCM(805,915) = 147315
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 122,313?
The HCF of 122,313 is 1
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 122/805, 313/915?
Answer: GCF of Numerators as per given numbers 122/805, 313/915 is
GCF of Numerators i.e. for 122,313 is 1
LCM of denominators i.e. for 805,915 is 147315.
Thus, GCF of Fractions is 1/147315.Finally, GCF of Fractions for 122/805, 313/915 is 1/147315.