Use our free GCF of Fractions Calculator tool to compute the GCF of 711/234, 6357/5616 i.e 3/5616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/234, 6357/5616.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 711/234,6357/5616
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 711/234,6357/5616, numerators are 711,6357
Denominators are 234,5616
The GCF of 711,6357 is 3 .
LCM of 234,5616 is 5616.
The greatest common factor of 711/234,6357/5616 = [GCF of 711,6357]/[LCM of 234,5616]= 3/5616
Therefore, the GCF of 711/234,6357/5616 is 3/5616.
To find the highest common factor of 711,6357, 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 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357
The HCF of 711,6357 is 3.
Lets's calculate GCF of 711,6357
3 | 711, 6357 |
237, 2119 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 711
:1,3,9,79,237,711
Now, list down the factors of 6357
:1,3,13,39,163,489,2119,6357
Greatest Common Factor
We found the factors 711,6357 . The biggest common factor number is the GCF number.
So the greatest common factor 711,6357 is 3.
Lets's calculate LCM of 234,5616
2 | 234, 5616 |
3 | 117, 2808 |
3 | 39, 936 |
13 | 13, 312 |
1, 24 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 1 x 24 = 5616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5616
Therefore, the GCF of Fractions 711/234,6357/5616 is 3/5616
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 234,5616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,5616) = 234
common factors(in case of two or more numbers have common factors) = 1
GCF(234,5616) x common factors =234 x 1 = 234
LCM(234,5616) = ( 234 × 5616 ) / 234
LCM(234,5616) = 1314144 / 234
LCM(234,5616) = 5616
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 711,6357?
The HCF of 711,6357 is 3
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 711/234, 6357/5616?
Answer: GCF of Numerators as per given numbers 711/234, 6357/5616 is
GCF of Numerators i.e. for 711,6357 is 3
LCM of denominators i.e. for 234,5616 is 5616.
Thus, GCF of Fractions is 3/5616.Finally, GCF of Fractions for 711/234, 6357/5616 is 3/5616.