Use our free GCF of Fractions Calculator tool to compute the GCF of 121/295, 702/365 i.e 1/21535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/295, 702/365.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 121/295,702/365
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 121/295,702/365, numerators are 121,702
Denominators are 295,365
The GCF of 121,702 is 1 .
LCM of 295,365 is 21535.
The greatest common factor of 121/295,702/365 = [GCF of 121,702]/[LCM of 295,365]= 1/21535
Therefore, the GCF of 121/295,702/365 is 1/21535.
To find the highest common factor of 121,702, we have to find the factors of both numbers and list the highest common factor.
The factors of 121 are 1, 11, 121
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The HCF of 121,702 is 1.
Lets's calculate GCF of 121,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 121,702 . The biggest common factor number is the GCF number.
So the greatest common factor 121,702 is 1.
Lets's calculate LCM of 295,365
5 | 295, 365 |
59, 73 |
∴ So the LCM of the given numbers is 5 x 59 x 73 = 21535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21535
Therefore, the GCF of Fractions 121/295,702/365 is 1/21535
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 295,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,365) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,365) x common factors =5 x 1 = 5
LCM(295,365) = ( 295 × 365 ) / 5
LCM(295,365) = 107675 / 5
LCM(295,365) = 21535
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 121,702?
The HCF of 121,702 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 121/295, 702/365?
Answer: GCF of Numerators as per given numbers 121/295, 702/365 is
GCF of Numerators i.e. for 121,702 is 1
LCM of denominators i.e. for 295,365 is 21535.
Thus, GCF of Fractions is 1/21535.Finally, GCF of Fractions for 121/295, 702/365 is 1/21535.