Use our free GCF of Fractions Calculator tool to compute the GCF of 78/71, 931/29, 856/297 i.e 1/611523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/71, 931/29, 856/297.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/71,931/29,856/297
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 78/71,931/29,856/297, numerators are 78,931,856
Denominators are 71,29,297
The GCF of 78,931,856 is 1 .
LCM of 71,29,297 is 611523.
The greatest common factor of 78/71,931/29,856/297 = [GCF of 78,931,856]/[LCM of 71,29,297]= 1/611523
Therefore, the GCF of 78/71,931/29,856/297 is 1/611523.
To find the highest common factor of 78,931,856, we have to find the factors of both numbers and list the highest common factor.
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 931 are 1, 7, 19, 49, 133, 931
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The HCF of 78,931,856 is 1.
Lets's calculate GCF of 78,931,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 931
:1,7,19,49,133,931
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 78,931,856 . The biggest common factor number is the GCF number.
So the greatest common factor 78,931,856 is 1.
Lets's calculate LCM of 71,29,297
Given numbers has no common factors except 1. So, there LCM is their product i.e 611523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/611523
Therefore, the GCF of Fractions 78/71,931/29,856/297 is 1/611523
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 71,29,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,29,297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,29,297) x common factors =1 x 1 = 1
LCM(71,29,297) = ( 71 × 29 × 297 ) / 1
LCM(71,29,297) = 611523 / 1
LCM(71,29,297) = 611523
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 78,931,856?
The HCF of 78,931,856 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 78/71, 931/29, 856/297?
Answer: GCF of Numerators as per given numbers 78/71, 931/29, 856/297 is
GCF of Numerators i.e. for 78,931,856 is 1
LCM of denominators i.e. for 71,29,297 is 611523.
Thus, GCF of Fractions is 1/611523.Finally, GCF of Fractions for 78/71, 931/29, 856/297 is 1/611523.