Use our free GCF of Fractions Calculator tool to compute the GCF of 92/68, 713/44, 138/660 i.e 23/11220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/68, 713/44, 138/660.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/68,713/44,138/660
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 92/68,713/44,138/660, numerators are 92,713,138
Denominators are 68,44,660
The GCF of 92,713,138 is 23 .
LCM of 68,44,660 is 11220.
The greatest common factor of 92/68,713/44,138/660 = [GCF of 92,713,138]/[LCM of 68,44,660]= 23/11220
Therefore, the GCF of 92/68,713/44,138/660 is 23/11220.
To find the highest common factor of 92,713,138, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 713 are 1, 23, 31, 713
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138
The HCF of 92,713,138 is 23.
Lets's calculate GCF of 92,713,138
23 | 92, 713, 138 |
4, 31, 6 |
∴ So the GCF of the given numbers is 23 = 23
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 713
:1,23,31,713
Now, list down the factors of 138
:1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 92,713,138 . The biggest common factor number is the GCF number.
So the greatest common factor 92,713,138 is 23.
Lets's calculate LCM of 68,44,660
2 | 68, 44, 660 |
2 | 34, 22, 330 |
11 | 17, 11, 165 |
17, 1, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 1 x 15 = 11220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/11220
Therefore, the GCF of Fractions 92/68,713/44,138/660 is 23/11220
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 68,44,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,44,660) = 4
common factors(in case of two or more numbers have common factors) = 44
GCF(68,44,660) x common factors =4 x 44 = 176
LCM(68,44,660) = ( 68 × 44 × 660 ) / 176
LCM(68,44,660) = 1974720 / 176
LCM(68,44,660) = 11220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,713,138?
The HCF of 92,713,138 is 23
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 92/68, 713/44, 138/660?
Answer: GCF of Numerators as per given numbers 92/68, 713/44, 138/660 is
GCF of Numerators i.e. for 92,713,138 is 23
LCM of denominators i.e. for 68,44,660 is 11220.
Thus, GCF of Fractions is 23/11220.Finally, GCF of Fractions for 92/68, 713/44, 138/660 is 23/11220.