Use our free GCF of Fractions Calculator tool to compute the GCF of 7/86, 55/42, 91/255, 711/439 i.e 1/67390890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/86, 55/42, 91/255, 711/439.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/86,55/42,91/255,711/439
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 7/86,55/42,91/255,711/439, numerators are 7,55,91,711
Denominators are 86,42,255,439
The GCF of 7,55,91,711 is 1 .
LCM of 86,42,255,439 is 67390890.
The greatest common factor of 7/86,55/42,91/255,711/439 = [GCF of 7,55,91,711]/[LCM of 86,42,255,439]= 1/67390890
Therefore, the GCF of 7/86,55/42,91/255,711/439 is 1/67390890.
To find the highest common factor of 7,55,91,711, we have to find the factors of both numbers and list the highest common factor.
The factors of 7 are 1, 7
The factors of 55 are 1, 5, 11, 55
The factors of 91 are 1, 7, 13, 91
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 7,55,91,711 is 1.
Lets's calculate GCF of 7,55,91,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7
:1,7
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 7,55,91,711 . The biggest common factor number is the GCF number.
So the greatest common factor 7,55,91,711 is 1.
Lets's calculate LCM of 86,42,255,439
2 | 86, 42, 255, 439 |
3 | 43, 21, 255, 439 |
43, 7, 85, 439 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 7 x 85 x 439 = 67390890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67390890
Therefore, the GCF of Fractions 7/86,55/42,91/255,711/439 is 1/67390890
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 86,42,255,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,42,255,439) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(86,42,255,439) x common factors =1 x 6 = 6
LCM(86,42,255,439) = ( 86 × 42 × 255 × 439 ) / 6
LCM(86,42,255,439) = 404345340 / 6
LCM(86,42,255,439) = 67390890
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7,55,91,711?
The HCF of 7,55,91,711 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 7/86, 55/42, 91/255, 711/439?
Answer: GCF of Numerators as per given numbers 7/86, 55/42, 91/255, 711/439 is
GCF of Numerators i.e. for 7,55,91,711 is 1
LCM of denominators i.e. for 86,42,255,439 is 67390890.
Thus, GCF of Fractions is 1/67390890.Finally, GCF of Fractions for 7/86, 55/42, 91/255, 711/439 is 1/67390890.