GCF of 935/912, 5705/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 935/912, 5705/474 i.e 5/72048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/912, 5705/474.
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 935/912,5705/474?
Given fractions are 935/912,5705/474
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 935/912,5705/474, numerators are 935,5705
Denominators are 912,474
The GCF of 935,5705 is 5 .
LCM of 912,474 is 72048.
The greatest common factor of 935/912,5705/474 = [GCF of 935,5705]/[LCM of 912,474]= 5/72048
Therefore, the GCF of 935/912,5705/474 is 5/72048.
To find the highest common factor of 935,5705, we have to find the factors of both numbers and list the highest common factor.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705
The HCF of 935,5705 is 5.
Lets's calculate GCF of 935,5705
| 5 | 935, 5705 |
| 187, 1141 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 935,5705 By Matching Biggest Common Factor Method
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 5705
:1,5,7,35,163,815,1141,5705
Greatest Common Factor
We found the factors 935,5705 . The biggest common factor number is the GCF number.
So the greatest common factor 935,5705 is 5.
Lets's calculate LCM of 912,474
| 2 | 912, 474 |
| 3 | 456, 237 |
| 152, 79 |
∴ So the LCM of the given numbers is 2 x 3 x 152 x 79 = 72048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/72048
Therefore, the GCF of Fractions 935/912,5705/474 is 5/72048
Least Common Multiple of 912,474 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 912,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,474) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(912,474) x common factors =6 x 1 = 6
LCM(912,474) = ( 912 × 474 ) / 6
LCM(912,474) = 432288 / 6
LCM(912,474) = 72048
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 935/912, 5705/474
1. What is the HCF of 935,5705?
The HCF of 935,5705 is 5
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 935/912, 5705/474?
Answer: GCF of Numerators as per given numbers 935/912, 5705/474 is
GCF of Numerators i.e. for 935,5705 is 5
LCM of denominators i.e. for 912,474 is 72048.
Thus, GCF of Fractions is 5/72048.Finally, GCF of Fractions for 935/912, 5705/474 is 5/72048.