Use our free GCF of Fractions Calculator tool to compute the GCF of 14/21, 160/11, 962/300 i.e 2/23100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/21, 160/11, 962/300.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/21,160/11,962/300
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 14/21,160/11,962/300, numerators are 14,160,962
Denominators are 21,11,300
The GCF of 14,160,962 is 2 .
LCM of 21,11,300 is 23100.
The greatest common factor of 14/21,160/11,962/300 = [GCF of 14,160,962]/[LCM of 21,11,300]= 2/23100
Therefore, the GCF of 14/21,160/11,962/300 is 2/23100.
To find the highest common factor of 14,160,962, 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 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The HCF of 14,160,962 is 2.
Lets's calculate GCF of 14,160,962
2 | 14, 160, 962 |
7, 80, 481 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 14,160,962 . The biggest common factor number is the GCF number.
So the greatest common factor 14,160,962 is 2.
Lets's calculate LCM of 21,11,300
3 | 21, 11, 300 |
7, 11, 100 |
∴ So the LCM of the given numbers is 3 x 7 x 11 x 100 = 23100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23100
Therefore, the GCF of Fractions 14/21,160/11,962/300 is 2/23100
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 21,11,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,11,300) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,11,300) x common factors =1 x 3 = 3
LCM(21,11,300) = ( 21 × 11 × 300 ) / 3
LCM(21,11,300) = 69300 / 3
LCM(21,11,300) = 23100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,160,962?
The HCF of 14,160,962 is 2
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 14/21, 160/11, 962/300?
Answer: GCF of Numerators as per given numbers 14/21, 160/11, 962/300 is
GCF of Numerators i.e. for 14,160,962 is 2
LCM of denominators i.e. for 21,11,300 is 23100.
Thus, GCF of Fractions is 2/23100.Finally, GCF of Fractions for 14/21, 160/11, 962/300 is 2/23100.