Use our free GCF of Fractions Calculator tool to compute the GCF of 711/914, 358/512 i.e 1/233984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/914, 358/512.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 711/914,358/512
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 711/914,358/512, numerators are 711,358
Denominators are 914,512
The GCF of 711,358 is 1 .
LCM of 914,512 is 233984.
The greatest common factor of 711/914,358/512 = [GCF of 711,358]/[LCM of 914,512]= 1/233984
Therefore, the GCF of 711/914,358/512 is 1/233984.
To find the highest common factor of 711,358, we have to find the factors of both numbers and list the highest common factor.
The factors of 711 are 1, 3, 9, 79, 237, 711
The factors of 358 are 1, 2, 179, 358
The HCF of 711,358 is 1.
Lets's calculate GCF of 711,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 711
:1,3,9,79,237,711
Now, list down the factors of 358
:1,2,179,358
Greatest Common Factor
We found the factors 711,358 . The biggest common factor number is the GCF number.
So the greatest common factor 711,358 is 1.
Lets's calculate LCM of 914,512
2 | 914, 512 |
457, 256 |
∴ So the LCM of the given numbers is 2 x 457 x 256 = 233984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233984
Therefore, the GCF of Fractions 711/914,358/512 is 1/233984
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 914,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,512) x common factors =2 x 1 = 2
LCM(914,512) = ( 914 × 512 ) / 2
LCM(914,512) = 467968 / 2
LCM(914,512) = 233984
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 711,358?
The HCF of 711,358 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 711/914, 358/512?
Answer: GCF of Numerators as per given numbers 711/914, 358/512 is
GCF of Numerators i.e. for 711,358 is 1
LCM of denominators i.e. for 914,512 is 233984.
Thus, GCF of Fractions is 1/233984.Finally, GCF of Fractions for 711/914, 358/512 is 1/233984.