Use our free GCF of Fractions Calculator tool to compute the GCF of 11/265, 86/975, 534/910 i.e 1/723450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/265, 86/975, 534/910.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/265,86/975,534/910
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 11/265,86/975,534/910, numerators are 11,86,534
Denominators are 265,975,910
The GCF of 11,86,534 is 1 .
LCM of 265,975,910 is 723450.
The greatest common factor of 11/265,86/975,534/910 = [GCF of 11,86,534]/[LCM of 265,975,910]= 1/723450
Therefore, the GCF of 11/265,86/975,534/910 is 1/723450.
To find the highest common factor of 11,86,534, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 86 are 1, 2, 43, 86
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The HCF of 11,86,534 is 1.
Lets's calculate GCF of 11,86,534
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 11
:1,11
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 11,86,534 . The biggest common factor number is the GCF number.
So the greatest common factor 11,86,534 is 1.
Lets's calculate LCM of 265,975,910
5 | 265, 975, 910 |
13 | 53, 195, 182 |
53, 15, 14 |
∴ So the LCM of the given numbers is 5 x 13 x 53 x 15 x 14 = 723450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/723450
Therefore, the GCF of Fractions 11/265,86/975,534/910 is 1/723450
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 265,975,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,975,910) = 5
common factors(in case of two or more numbers have common factors) = 65
GCF(265,975,910) x common factors =5 x 65 = 325
LCM(265,975,910) = ( 265 × 975 × 910 ) / 325
LCM(265,975,910) = 235121250 / 325
LCM(265,975,910) = 723450
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,86,534?
The HCF of 11,86,534 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 11/265, 86/975, 534/910?
Answer: GCF of Numerators as per given numbers 11/265, 86/975, 534/910 is
GCF of Numerators i.e. for 11,86,534 is 1
LCM of denominators i.e. for 265,975,910 is 723450.
Thus, GCF of Fractions is 1/723450.Finally, GCF of Fractions for 11/265, 86/975, 534/910 is 1/723450.