Use our free GCF of Fractions Calculator tool to compute the GCF of 383/995, 702/253 i.e 1/251735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 383/995, 702/253.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/995,702/253
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 383/995,702/253, numerators are 383,702
Denominators are 995,253
The GCF of 383,702 is 1 .
LCM of 995,253 is 251735.
The greatest common factor of 383/995,702/253 = [GCF of 383,702]/[LCM of 995,253]= 1/251735
Therefore, the GCF of 383/995,702/253 is 1/251735.
To find the highest common factor of 383,702, we have to find the factors of both numbers and list the highest common factor.
The factors of 383 are 1, 383
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The HCF of 383,702 is 1.
Lets's calculate GCF of 383,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 383
:1,383
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 383,702 . The biggest common factor number is the GCF number.
So the greatest common factor 383,702 is 1.
Lets's calculate LCM of 995,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 251735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251735
Therefore, the GCF of Fractions 383/995,702/253 is 1/251735
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 995,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,253) x common factors =1 x 1 = 1
LCM(995,253) = ( 995 × 253 ) / 1
LCM(995,253) = 251735 / 1
LCM(995,253) = 251735
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 383,702?
The HCF of 383,702 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 383/995, 702/253?
Answer: GCF of Numerators as per given numbers 383/995, 702/253 is
GCF of Numerators i.e. for 383,702 is 1
LCM of denominators i.e. for 995,253 is 251735.
Thus, GCF of Fractions is 1/251735.Finally, GCF of Fractions for 383/995, 702/253 is 1/251735.