GCF of 932/493, 945/743, 281/935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 932/493, 945/743, 281/935 i.e 1/20146445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 932/493, 945/743, 281/935.
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 932/493,945/743,281/935?
Given fractions are 932/493,945/743,281/935
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 932/493,945/743,281/935, numerators are 932,945,281
Denominators are 493,743,935
The GCF of 932,945,281 is 1 .
LCM of 493,743,935 is 20146445.
The greatest common factor of 932/493,945/743,281/935 = [GCF of 932,945,281]/[LCM of 493,743,935]= 1/20146445
Therefore, the GCF of 932/493,945/743,281/935 is 1/20146445.
To find the highest common factor of 932,945,281, we have to find the factors of both numbers and list the highest common factor.
The factors of 932 are 1, 2, 4, 233, 466, 932
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The factors of 281 are 1, 281
The HCF of 932,945,281 is 1.
Lets's calculate GCF of 932,945,281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 932,945,281 By Matching Biggest Common Factor Method
Now, list down the factors of 932
:1,2,4,233,466,932
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Now, list down the factors of 281
:1,281
Greatest Common Factor
We found the factors 932,945,281 . The biggest common factor number is the GCF number.
So the greatest common factor 932,945,281 is 1.
Lets's calculate LCM of 493,743,935
| 17 | 493, 743, 935 |
| 29, 743, 55 |
∴ So the LCM of the given numbers is 17 x 29 x 743 x 55 = 20146445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20146445
Therefore, the GCF of Fractions 932/493,945/743,281/935 is 1/20146445
Least Common Multiple of 493,743,935 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 493,743,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,743,935) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(493,743,935) x common factors =1 x 17 = 17
LCM(493,743,935) = ( 493 × 743 × 935 ) / 17
LCM(493,743,935) = 342489565 / 17
LCM(493,743,935) = 20146445
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FAQs on GCF of Fractions of 932/493, 945/743, 281/935
1. What is the HCF of 932,945,281?
The HCF of 932,945,281 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 932/493, 945/743, 281/935?
Answer: GCF of Numerators as per given numbers 932/493, 945/743, 281/935 is
GCF of Numerators i.e. for 932,945,281 is 1
LCM of denominators i.e. for 493,743,935 is 20146445.
Thus, GCF of Fractions is 1/20146445.Finally, GCF of Fractions for 932/493, 945/743, 281/935 is 1/20146445.