Use our free GCF of Fractions Calculator tool to compute the GCF of 97/14, 269/53, 302/845 i.e 1/626990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/14, 269/53, 302/845.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/14,269/53,302/845
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 97/14,269/53,302/845, numerators are 97,269,302
Denominators are 14,53,845
The GCF of 97,269,302 is 1 .
LCM of 14,53,845 is 626990.
The greatest common factor of 97/14,269/53,302/845 = [GCF of 97,269,302]/[LCM of 14,53,845]= 1/626990
Therefore, the GCF of 97/14,269/53,302/845 is 1/626990.
To find the highest common factor of 97,269,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 269 are 1, 269
The factors of 302 are 1, 2, 151, 302
The HCF of 97,269,302 is 1.
Lets's calculate GCF of 97,269,302
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 269
:1,269
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 97,269,302 . The biggest common factor number is the GCF number.
So the greatest common factor 97,269,302 is 1.
Lets's calculate LCM of 14,53,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 626990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/626990
Therefore, the GCF of Fractions 97/14,269/53,302/845 is 1/626990
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 14,53,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,53,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,53,845) x common factors =1 x 1 = 1
LCM(14,53,845) = ( 14 × 53 × 845 ) / 1
LCM(14,53,845) = 626990 / 1
LCM(14,53,845) = 626990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,269,302?
The HCF of 97,269,302 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 97/14, 269/53, 302/845?
Answer: GCF of Numerators as per given numbers 97/14, 269/53, 302/845 is
GCF of Numerators i.e. for 97,269,302 is 1
LCM of denominators i.e. for 14,53,845 is 626990.
Thus, GCF of Fractions is 1/626990.Finally, GCF of Fractions for 97/14, 269/53, 302/845 is 1/626990.