Use our free GCF of Fractions Calculator tool to compute the GCF of 29/97, 858/38, 765/285 i.e 1/55290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/97, 858/38, 765/285.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/97,858/38,765/285
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 29/97,858/38,765/285, numerators are 29,858,765
Denominators are 97,38,285
The GCF of 29,858,765 is 1 .
LCM of 97,38,285 is 55290.
The greatest common factor of 29/97,858/38,765/285 = [GCF of 29,858,765]/[LCM of 97,38,285]= 1/55290
Therefore, the GCF of 29/97,858/38,765/285 is 1/55290.
To find the highest common factor of 29,858,765, 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 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
The HCF of 29,858,765 is 1.
Lets's calculate GCF of 29,858,765
∴ 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 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Now, list down the factors of 765
:1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 29,858,765 . The biggest common factor number is the GCF number.
So the greatest common factor 29,858,765 is 1.
Lets's calculate LCM of 97,38,285
19 | 97, 38, 285 |
97, 2, 15 |
∴ So the LCM of the given numbers is 19 x 97 x 2 x 15 = 55290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55290
Therefore, the GCF of Fractions 29/97,858/38,765/285 is 1/55290
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 97,38,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,38,285) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(97,38,285) x common factors =1 x 19 = 19
LCM(97,38,285) = ( 97 × 38 × 285 ) / 19
LCM(97,38,285) = 1050510 / 19
LCM(97,38,285) = 55290
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,858,765?
The HCF of 29,858,765 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 29/97, 858/38, 765/285?
Answer: GCF of Numerators as per given numbers 29/97, 858/38, 765/285 is
GCF of Numerators i.e. for 29,858,765 is 1
LCM of denominators i.e. for 97,38,285 is 55290.
Thus, GCF of Fractions is 1/55290.Finally, GCF of Fractions for 29/97, 858/38, 765/285 is 1/55290.