GCF of 415/20, 932/935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 415/20, 932/935 i.e 1/3740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 415/20, 932/935.
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 415/20,932/935?
Given fractions are 415/20,932/935
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 415/20,932/935, numerators are 415,932
Denominators are 20,935
The GCF of 415,932 is 1 .
LCM of 20,935 is 3740.
The greatest common factor of 415/20,932/935 = [GCF of 415,932]/[LCM of 20,935]= 1/3740
Therefore, the GCF of 415/20,932/935 is 1/3740.
To find the highest common factor of 415,932, we have to find the factors of both numbers and list the highest common factor.
The factors of 415 are 1, 5, 83, 415
The factors of 932 are 1, 2, 4, 233, 466, 932
The HCF of 415,932 is 1.
Lets's calculate GCF of 415,932
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 415,932 By Matching Biggest Common Factor Method
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 932
:1,2,4,233,466,932
Greatest Common Factor
We found the factors 415,932 . The biggest common factor number is the GCF number.
So the greatest common factor 415,932 is 1.
Lets's calculate LCM of 20,935
| 5 | 20, 935 |
| 4, 187 |
∴ So the LCM of the given numbers is 5 x 4 x 187 = 3740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3740
Therefore, the GCF of Fractions 415/20,932/935 is 1/3740
Least Common Multiple of 20,935 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 20,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,935) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(20,935) x common factors =5 x 1 = 5
LCM(20,935) = ( 20 × 935 ) / 5
LCM(20,935) = 18700 / 5
LCM(20,935) = 3740
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FAQs on GCF of Fractions of 415/20, 932/935
1. What is the HCF of 415,932?
The HCF of 415,932 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 415/20, 932/935?
Answer: GCF of Numerators as per given numbers 415/20, 932/935 is
GCF of Numerators i.e. for 415,932 is 1
LCM of denominators i.e. for 20,935 is 3740.
Thus, GCF of Fractions is 1/3740.Finally, GCF of Fractions for 415/20, 932/935 is 1/3740.