Use our free GCF of Fractions Calculator tool to compute the GCF of 39/865, 78/535, 741/357 i.e 39/33042135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/865, 78/535, 741/357.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/865,78/535,741/357
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 39/865,78/535,741/357, numerators are 39,78,741
Denominators are 865,535,357
The GCF of 39,78,741 is 39 .
LCM of 865,535,357 is 33042135.
The greatest common factor of 39/865,78/535,741/357 = [GCF of 39,78,741]/[LCM of 865,535,357]= 39/33042135
Therefore, the GCF of 39/865,78/535,741/357 is 39/33042135.
To find the highest common factor of 39,78,741, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The HCF of 39,78,741 is 39.
Lets's calculate GCF of 39,78,741
3 | 39, 78, 741 |
13 | 13, 26, 247 |
1, 2, 19 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 39,78,741 . The biggest common factor number is the GCF number.
So the greatest common factor 39,78,741 is 39.
Lets's calculate LCM of 865,535,357
5 | 865, 535, 357 |
173, 107, 357 |
∴ So the LCM of the given numbers is 5 x 173 x 107 x 357 = 33042135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/33042135
Therefore, the GCF of Fractions 39/865,78/535,741/357 is 39/33042135
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 865,535,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,535,357) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(865,535,357) x common factors =1 x 5 = 5
LCM(865,535,357) = ( 865 × 535 × 357 ) / 5
LCM(865,535,357) = 165210675 / 5
LCM(865,535,357) = 33042135
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,78,741?
The HCF of 39,78,741 is 39
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 39/865, 78/535, 741/357?
Answer: GCF of Numerators as per given numbers 39/865, 78/535, 741/357 is
GCF of Numerators i.e. for 39,78,741 is 39
LCM of denominators i.e. for 865,535,357 is 33042135.
Thus, GCF of Fractions is 39/33042135.Finally, GCF of Fractions for 39/865, 78/535, 741/357 is 39/33042135.