Use our free GCF of Fractions Calculator tool to compute the GCF of 763/256, 452/115 i.e 1/29440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 763/256, 452/115.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 763/256,452/115
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 763/256,452/115, numerators are 763,452
Denominators are 256,115
The GCF of 763,452 is 1 .
LCM of 256,115 is 29440.
The greatest common factor of 763/256,452/115 = [GCF of 763,452]/[LCM of 256,115]= 1/29440
Therefore, the GCF of 763/256,452/115 is 1/29440.
To find the highest common factor of 763,452, we have to find the factors of both numbers and list the highest common factor.
The factors of 763 are 1, 7, 109, 763
The factors of 452 are 1, 2, 4, 113, 226, 452
The HCF of 763,452 is 1.
Lets's calculate GCF of 763,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 763
:1,7,109,763
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 763,452 . The biggest common factor number is the GCF number.
So the greatest common factor 763,452 is 1.
Lets's calculate LCM of 256,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 29440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29440
Therefore, the GCF of Fractions 763/256,452/115 is 1/29440
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 256,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,115) x common factors =1 x 1 = 1
LCM(256,115) = ( 256 × 115 ) / 1
LCM(256,115) = 29440 / 1
LCM(256,115) = 29440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 763,452?
The HCF of 763,452 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 763/256, 452/115?
Answer: GCF of Numerators as per given numbers 763/256, 452/115 is
GCF of Numerators i.e. for 763,452 is 1
LCM of denominators i.e. for 256,115 is 29440.
Thus, GCF of Fractions is 1/29440.Finally, GCF of Fractions for 763/256, 452/115 is 1/29440.