Use our free GCF of Fractions Calculator tool to compute the GCF of 29/28, 678/33, 841/654 i.e 1/100716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/28, 678/33, 841/654.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/28,678/33,841/654
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 29/28,678/33,841/654, numerators are 29,678,841
Denominators are 28,33,654
The GCF of 29,678,841 is 1 .
LCM of 28,33,654 is 100716.
The greatest common factor of 29/28,678/33,841/654 = [GCF of 29,678,841]/[LCM of 28,33,654]= 1/100716
Therefore, the GCF of 29/28,678/33,841/654 is 1/100716.
To find the highest common factor of 29,678,841, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The factors of 841 are 1, 29, 841
The HCF of 29,678,841 is 1.
Lets's calculate GCF of 29,678,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 29
:1,29
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Now, list down the factors of 841
:1,29,841
Greatest Common Factor
We found the factors 29,678,841 . The biggest common factor number is the GCF number.
So the greatest common factor 29,678,841 is 1.
Lets's calculate LCM of 28,33,654
2 | 28, 33, 654 |
3 | 14, 33, 327 |
14, 11, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 14 x 11 x 109 = 100716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100716
Therefore, the GCF of Fractions 29/28,678/33,841/654 is 1/100716
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 28,33,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,33,654) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(28,33,654) x common factors =1 x 6 = 6
LCM(28,33,654) = ( 28 × 33 × 654 ) / 6
LCM(28,33,654) = 604296 / 6
LCM(28,33,654) = 100716
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,678,841?
The HCF of 29,678,841 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 29/28, 678/33, 841/654?
Answer: GCF of Numerators as per given numbers 29/28, 678/33, 841/654 is
GCF of Numerators i.e. for 29,678,841 is 1
LCM of denominators i.e. for 28,33,654 is 100716.
Thus, GCF of Fractions is 1/100716.Finally, GCF of Fractions for 29/28, 678/33, 841/654 is 1/100716.