Use our free GCF of Fractions Calculator tool to compute the GCF of 69/781, 29/711, 286/681 i.e 1/126051057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/781, 29/711, 286/681.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/781,29/711,286/681
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 69/781,29/711,286/681, numerators are 69,29,286
Denominators are 781,711,681
The GCF of 69,29,286 is 1 .
LCM of 781,711,681 is 126051057.
The greatest common factor of 69/781,29/711,286/681 = [GCF of 69,29,286]/[LCM of 781,711,681]= 1/126051057
Therefore, the GCF of 69/781,29/711,286/681 is 1/126051057.
To find the highest common factor of 69,29,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 29 are 1, 29
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 69,29,286 is 1.
Lets's calculate GCF of 69,29,286
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 29
:1,29
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 69,29,286 . The biggest common factor number is the GCF number.
So the greatest common factor 69,29,286 is 1.
Lets's calculate LCM of 781,711,681
3 | 781, 711, 681 |
781, 237, 227 |
∴ So the LCM of the given numbers is 3 x 781 x 237 x 227 = 126051057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126051057
Therefore, the GCF of Fractions 69/781,29/711,286/681 is 1/126051057
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 781,711,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,711,681) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(781,711,681) x common factors =1 x 3 = 3
LCM(781,711,681) = ( 781 × 711 × 681 ) / 3
LCM(781,711,681) = 378153171 / 3
LCM(781,711,681) = 126051057
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,29,286?
The HCF of 69,29,286 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 69/781, 29/711, 286/681?
Answer: GCF of Numerators as per given numbers 69/781, 29/711, 286/681 is
GCF of Numerators i.e. for 69,29,286 is 1
LCM of denominators i.e. for 781,711,681 is 126051057.
Thus, GCF of Fractions is 1/126051057.Finally, GCF of Fractions for 69/781, 29/711, 286/681 is 1/126051057.