Use our free GCF of Fractions Calculator tool to compute the GCF of 52/788, 13/344, 320/678 i.e 1/22973352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/788, 13/344, 320/678.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/788,13/344,320/678
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 52/788,13/344,320/678, numerators are 52,13,320
Denominators are 788,344,678
The GCF of 52,13,320 is 1 .
LCM of 788,344,678 is 22973352.
The greatest common factor of 52/788,13/344,320/678 = [GCF of 52,13,320]/[LCM of 788,344,678]= 1/22973352
Therefore, the GCF of 52/788,13/344,320/678 is 1/22973352.
To find the highest common factor of 52,13,320, 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 13 are 1, 13
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 52,13,320 is 1.
Lets's calculate GCF of 52,13,320
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 13
:1,13
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 52,13,320 . The biggest common factor number is the GCF number.
So the greatest common factor 52,13,320 is 1.
Lets's calculate LCM of 788,344,678
2 | 788, 344, 678 |
2 | 394, 172, 339 |
197, 86, 339 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 86 x 339 = 22973352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22973352
Therefore, the GCF of Fractions 52/788,13/344,320/678 is 1/22973352
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 788,344,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,344,678) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(788,344,678) x common factors =2 x 4 = 8
LCM(788,344,678) = ( 788 × 344 × 678 ) / 8
LCM(788,344,678) = 183786816 / 8
LCM(788,344,678) = 22973352
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 52,13,320?
The HCF of 52,13,320 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 52/788, 13/344, 320/678?
Answer: GCF of Numerators as per given numbers 52/788, 13/344, 320/678 is
GCF of Numerators i.e. for 52,13,320 is 1
LCM of denominators i.e. for 788,344,678 is 22973352.
Thus, GCF of Fractions is 1/22973352.Finally, GCF of Fractions for 52/788, 13/344, 320/678 is 1/22973352.