GCF of 35/728, 54/156, 741/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/728, 54/156, 741/927 i.e 1/674856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/728, 54/156, 741/927.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 35/728,54/156,741/927?
Given fractions are 35/728,54/156,741/927
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 35/728,54/156,741/927, numerators are 35,54,741
Denominators are 728,156,927
The GCF of 35,54,741 is 1 .
LCM of 728,156,927 is 674856.
The greatest common factor of 35/728,54/156,741/927 = [GCF of 35,54,741]/[LCM of 728,156,927]= 1/674856
Therefore, the GCF of 35/728,54/156,741/927 is 1/674856.
To find the highest common factor of 35,54,741, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The HCF of 35,54,741 is 1.
Lets's calculate GCF of 35,54,741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,54,741 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 35,54,741 . The biggest common factor number is the GCF number.
So the greatest common factor 35,54,741 is 1.
Lets's calculate LCM of 728,156,927
| 2 | 728, 156, 927 |
| 2 | 364, 78, 927 |
| 3 | 182, 39, 927 |
| 13 | 182, 13, 309 |
| 14, 1, 309 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 14 x 1 x 309 = 674856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/674856
Therefore, the GCF of Fractions 35/728,54/156,741/927 is 1/674856
Least Common Multiple of 728,156,927 with GCF Formula
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 728,156,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,156,927) = 1
common factors(in case of two or more numbers have common factors) = 156
GCF(728,156,927) x common factors =1 x 156 = 156
LCM(728,156,927) = ( 728 × 156 × 927 ) / 156
LCM(728,156,927) = 105277536 / 156
LCM(728,156,927) = 674856
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 35/728, 54/156, 741/927
1. What is the HCF of 35,54,741?
The HCF of 35,54,741 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 35/728, 54/156, 741/927?
Answer: GCF of Numerators as per given numbers 35/728, 54/156, 741/927 is
GCF of Numerators i.e. for 35,54,741 is 1
LCM of denominators i.e. for 728,156,927 is 674856.
Thus, GCF of Fractions is 1/674856.Finally, GCF of Fractions for 35/728, 54/156, 741/927 is 1/674856.