Use our free GCF of Fractions Calculator tool to compute the GCF of 52/26, 478/74, 440/751 i.e 2/722462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/26, 478/74, 440/751.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/26,478/74,440/751
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 52/26,478/74,440/751, numerators are 52,478,440
Denominators are 26,74,751
The GCF of 52,478,440 is 2 .
LCM of 26,74,751 is 722462.
The greatest common factor of 52/26,478/74,440/751 = [GCF of 52,478,440]/[LCM of 26,74,751]= 2/722462
Therefore, the GCF of 52/26,478/74,440/751 is 2/722462.
To find the highest common factor of 52,478,440, we have to find the factors of both numbers and list the highest common factor.
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 478 are 1, 2, 239, 478
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The HCF of 52,478,440 is 2.
Lets's calculate GCF of 52,478,440
2 | 52, 478, 440 |
26, 239, 220 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 478
:1,2,239,478
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 52,478,440 . The biggest common factor number is the GCF number.
So the greatest common factor 52,478,440 is 2.
Lets's calculate LCM of 26,74,751
2 | 26, 74, 751 |
13, 37, 751 |
∴ So the LCM of the given numbers is 2 x 13 x 37 x 751 = 722462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/722462
Therefore, the GCF of Fractions 52/26,478/74,440/751 is 2/722462
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 26,74,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,74,751) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,74,751) x common factors =1 x 2 = 2
LCM(26,74,751) = ( 26 × 74 × 751 ) / 2
LCM(26,74,751) = 1444924 / 2
LCM(26,74,751) = 722462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 52,478,440?
The HCF of 52,478,440 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 52/26, 478/74, 440/751?
Answer: GCF of Numerators as per given numbers 52/26, 478/74, 440/751 is
GCF of Numerators i.e. for 52,478,440 is 2
LCM of denominators i.e. for 26,74,751 is 722462.
Thus, GCF of Fractions is 2/722462.Finally, GCF of Fractions for 52/26, 478/74, 440/751 is 2/722462.