Use our free GCF of Fractions Calculator tool to compute the GCF of 92/56, 26/704, 240/518 i.e 2/182336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/56, 26/704, 240/518.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/56,26/704,240/518
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 92/56,26/704,240/518, numerators are 92,26,240
Denominators are 56,704,518
The GCF of 92,26,240 is 2 .
LCM of 56,704,518 is 182336.
The greatest common factor of 92/56,26/704,240/518 = [GCF of 92,26,240]/[LCM of 56,704,518]= 2/182336
Therefore, the GCF of 92/56,26/704,240/518 is 2/182336.
To find the highest common factor of 92,26,240, 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 26 are 1, 2, 13, 26
The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
The HCF of 92,26,240 is 2.
Lets's calculate GCF of 92,26,240
2 | 92, 26, 240 |
46, 13, 120 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 240
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 92,26,240 . The biggest common factor number is the GCF number.
So the greatest common factor 92,26,240 is 2.
Lets's calculate LCM of 56,704,518
2 | 56, 704, 518 |
2 | 28, 352, 259 |
2 | 14, 176, 259 |
7 | 7, 88, 259 |
1, 88, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 88 x 37 = 182336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182336
Therefore, the GCF of Fractions 92/56,26/704,240/518 is 2/182336
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 56,704,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,704,518) = 2
common factors(in case of two or more numbers have common factors) = 56
GCF(56,704,518) x common factors =2 x 56 = 112
LCM(56,704,518) = ( 56 × 704 × 518 ) / 112
LCM(56,704,518) = 20421632 / 112
LCM(56,704,518) = 182336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,26,240?
The HCF of 92,26,240 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 92/56, 26/704, 240/518?
Answer: GCF of Numerators as per given numbers 92/56, 26/704, 240/518 is
GCF of Numerators i.e. for 92,26,240 is 2
LCM of denominators i.e. for 56,704,518 is 182336.
Thus, GCF of Fractions is 2/182336.Finally, GCF of Fractions for 92/56, 26/704, 240/518 is 2/182336.