GCF of 935/506, 1254/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 935/506, 1254/978 i.e 11/247434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/506, 1254/978.
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 935/506,1254/978?
Given fractions are 935/506,1254/978
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 935/506,1254/978, numerators are 935,1254
Denominators are 506,978
The GCF of 935,1254 is 11 .
LCM of 506,978 is 247434.
The greatest common factor of 935/506,1254/978 = [GCF of 935,1254]/[LCM of 506,978]= 11/247434
Therefore, the GCF of 935/506,1254/978 is 11/247434.
To find the highest common factor of 935,1254, 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 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254
The HCF of 935,1254 is 11.
Lets's calculate GCF of 935,1254
| 11 | 935, 1254 |
| 85, 114 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 935,1254 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 1254
:1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Greatest Common Factor
We found the factors 935,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 935,1254 is 11.
Lets's calculate LCM of 506,978
| 2 | 506, 978 |
| 253, 489 |
∴ So the LCM of the given numbers is 2 x 253 x 489 = 247434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/247434
Therefore, the GCF of Fractions 935/506,1254/978 is 11/247434
Least Common Multiple of 506,978 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 506,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,978) x common factors =2 x 1 = 2
LCM(506,978) = ( 506 × 978 ) / 2
LCM(506,978) = 494868 / 2
LCM(506,978) = 247434
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FAQs on GCF of Fractions of 935/506, 1254/978
1. What is the HCF of 935,1254?
The HCF of 935,1254 is 11
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 935/506, 1254/978?
Answer: GCF of Numerators as per given numbers 935/506, 1254/978 is
GCF of Numerators i.e. for 935,1254 is 11
LCM of denominators i.e. for 506,978 is 247434.
Thus, GCF of Fractions is 11/247434.Finally, GCF of Fractions for 935/506, 1254/978 is 11/247434.