Use our free GCF of Fractions Calculator tool to compute the GCF of 26/27, 769/40, 874/472 i.e 1/63720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/27, 769/40, 874/472.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/27,769/40,874/472
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 26/27,769/40,874/472, numerators are 26,769,874
Denominators are 27,40,472
The GCF of 26,769,874 is 1 .
LCM of 27,40,472 is 63720.
The greatest common factor of 26/27,769/40,874/472 = [GCF of 26,769,874]/[LCM of 27,40,472]= 1/63720
Therefore, the GCF of 26/27,769/40,874/472 is 1/63720.
To find the highest common factor of 26,769,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 26 are 1, 2, 13, 26
The factors of 769 are 1, 769
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 26,769,874 is 1.
Lets's calculate GCF of 26,769,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 769
:1,769
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 26,769,874 . The biggest common factor number is the GCF number.
So the greatest common factor 26,769,874 is 1.
Lets's calculate LCM of 27,40,472
2 | 27, 40, 472 |
2 | 27, 20, 236 |
2 | 27, 10, 118 |
27, 5, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 27 x 5 x 59 = 63720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63720
Therefore, the GCF of Fractions 26/27,769/40,874/472 is 1/63720
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 27,40,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,40,472) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(27,40,472) x common factors =1 x 8 = 8
LCM(27,40,472) = ( 27 × 40 × 472 ) / 8
LCM(27,40,472) = 509760 / 8
LCM(27,40,472) = 63720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,769,874?
The HCF of 26,769,874 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 26/27, 769/40, 874/472?
Answer: GCF of Numerators as per given numbers 26/27, 769/40, 874/472 is
GCF of Numerators i.e. for 26,769,874 is 1
LCM of denominators i.e. for 27,40,472 is 63720.
Thus, GCF of Fractions is 1/63720.Finally, GCF of Fractions for 26/27, 769/40, 874/472 is 1/63720.