Use our free GCF of Fractions Calculator tool to compute the GCF of 14/48, 21/721, 611/862 i.e 1/14916048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/48, 21/721, 611/862.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/48,21/721,611/862
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 14/48,21/721,611/862, numerators are 14,21,611
Denominators are 48,721,862
The GCF of 14,21,611 is 1 .
LCM of 48,721,862 is 14916048.
The greatest common factor of 14/48,21/721,611/862 = [GCF of 14,21,611]/[LCM of 48,721,862]= 1/14916048
Therefore, the GCF of 14/48,21/721,611/862 is 1/14916048.
To find the highest common factor of 14,21,611, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 21 are 1, 3, 7, 21
The factors of 611 are 1, 13, 47, 611
The HCF of 14,21,611 is 1.
Lets's calculate GCF of 14,21,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 611
:1,13,47,611
Greatest Common Factor
We found the factors 14,21,611 . The biggest common factor number is the GCF number.
So the greatest common factor 14,21,611 is 1.
Lets's calculate LCM of 48,721,862
2 | 48, 721, 862 |
24, 721, 431 |
∴ So the LCM of the given numbers is 2 x 24 x 721 x 431 = 14916048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14916048
Therefore, the GCF of Fractions 14/48,21/721,611/862 is 1/14916048
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 48,721,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,721,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(48,721,862) x common factors =1 x 2 = 2
LCM(48,721,862) = ( 48 × 721 × 862 ) / 2
LCM(48,721,862) = 29832096 / 2
LCM(48,721,862) = 14916048
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,21,611?
The HCF of 14,21,611 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 14/48, 21/721, 611/862?
Answer: GCF of Numerators as per given numbers 14/48, 21/721, 611/862 is
GCF of Numerators i.e. for 14,21,611 is 1
LCM of denominators i.e. for 48,721,862 is 14916048.
Thus, GCF of Fractions is 1/14916048.Finally, GCF of Fractions for 14/48, 21/721, 611/862 is 1/14916048.