GCF of 993/53, 950/88, 533/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 993/53, 950/88, 533/706 i.e 1/1646392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 993/53, 950/88, 533/706.
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 993/53,950/88,533/706?
Given fractions are 993/53,950/88,533/706
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 993/53,950/88,533/706, numerators are 993,950,533
Denominators are 53,88,706
The GCF of 993,950,533 is 1 .
LCM of 53,88,706 is 1646392.
The greatest common factor of 993/53,950/88,533/706 = [GCF of 993,950,533]/[LCM of 53,88,706]= 1/1646392
Therefore, the GCF of 993/53,950/88,533/706 is 1/1646392.
To find the highest common factor of 993,950,533, we have to find the factors of both numbers and list the highest common factor.
The factors of 993 are 1, 3, 331, 993
The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The factors of 533 are 1, 13, 41, 533
The HCF of 993,950,533 is 1.
Lets's calculate GCF of 993,950,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 993,950,533 By Matching Biggest Common Factor Method
Now, list down the factors of 993
:1,3,331,993
Now, list down the factors of 950
:1,2,5,10,19,25,38,50,95,190,475,950
Now, list down the factors of 533
:1,13,41,533
Greatest Common Factor
We found the factors 993,950,533 . The biggest common factor number is the GCF number.
So the greatest common factor 993,950,533 is 1.
Lets's calculate LCM of 53,88,706
| 2 | 53, 88, 706 |
| 53, 44, 353 |
∴ So the LCM of the given numbers is 2 x 53 x 44 x 353 = 1646392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1646392
Therefore, the GCF of Fractions 993/53,950/88,533/706 is 1/1646392
Least Common Multiple of 53,88,706 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 53,88,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,88,706) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,88,706) x common factors =1 x 2 = 2
LCM(53,88,706) = ( 53 × 88 × 706 ) / 2
LCM(53,88,706) = 3292784 / 2
LCM(53,88,706) = 1646392
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FAQs on GCF of Fractions of 993/53, 950/88, 533/706
1. What is the HCF of 993,950,533?
The HCF of 993,950,533 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 993/53, 950/88, 533/706?
Answer: GCF of Numerators as per given numbers 993/53, 950/88, 533/706 is
GCF of Numerators i.e. for 993,950,533 is 1
LCM of denominators i.e. for 53,88,706 is 1646392.
Thus, GCF of Fractions is 1/1646392.Finally, GCF of Fractions for 993/53, 950/88, 533/706 is 1/1646392.