Use our free GCF of Fractions Calculator tool to compute the GCF of 134/578, 369/263 i.e 1/152014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 134/578, 369/263.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 134/578,369/263
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 134/578,369/263, numerators are 134,369
Denominators are 578,263
The GCF of 134,369 is 1 .
LCM of 578,263 is 152014.
The greatest common factor of 134/578,369/263 = [GCF of 134,369]/[LCM of 578,263]= 1/152014
Therefore, the GCF of 134/578,369/263 is 1/152014.
To find the highest common factor of 134,369, we have to find the factors of both numbers and list the highest common factor.
The factors of 134 are 1, 2, 67, 134
The factors of 369 are 1, 3, 9, 41, 123, 369
The HCF of 134,369 is 1.
Lets's calculate GCF of 134,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 134
:1,2,67,134
Now, list down the factors of 369
:1,3,9,41,123,369
Greatest Common Factor
We found the factors 134,369 . The biggest common factor number is the GCF number.
So the greatest common factor 134,369 is 1.
Lets's calculate LCM of 578,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 152014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152014
Therefore, the GCF of Fractions 134/578,369/263 is 1/152014
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 578,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,263) x common factors =1 x 1 = 1
LCM(578,263) = ( 578 × 263 ) / 1
LCM(578,263) = 152014 / 1
LCM(578,263) = 152014
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 134,369?
The HCF of 134,369 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 134/578, 369/263?
Answer: GCF of Numerators as per given numbers 134/578, 369/263 is
GCF of Numerators i.e. for 134,369 is 1
LCM of denominators i.e. for 578,263 is 152014.
Thus, GCF of Fractions is 1/152014.Finally, GCF of Fractions for 134/578, 369/263 is 1/152014.