GCF of 9493/759, 8955/1998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9493/759, 8955/1998 i.e 1/505494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9493/759, 8955/1998.
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 9493/759,8955/1998?
Given fractions are 9493/759,8955/1998
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 9493/759,8955/1998, numerators are 9493,8955
Denominators are 759,1998
The GCF of 9493,8955 is 1 .
LCM of 759,1998 is 505494.
The greatest common factor of 9493/759,8955/1998 = [GCF of 9493,8955]/[LCM of 759,1998]= 1/505494
Therefore, the GCF of 9493/759,8955/1998 is 1/505494.
To find the highest common factor of 9493,8955, we have to find the factors of both numbers and list the highest common factor.
The factors of 9493 are 1, 11, 863, 9493
The factors of 8955 are 1, 3, 5, 9, 15, 45, 199, 597, 995, 1791, 2985, 8955
The HCF of 9493,8955 is 1.
Lets's calculate GCF of 9493,8955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9493,8955 By Matching Biggest Common Factor Method
Now, list down the factors of 9493
:1,11,863,9493
Now, list down the factors of 8955
:1,3,5,9,15,45,199,597,995,1791,2985,8955
Greatest Common Factor
We found the factors 9493,8955 . The biggest common factor number is the GCF number.
So the greatest common factor 9493,8955 is 1.
Lets's calculate LCM of 759,1998
| 3 | 759, 1998 |
| 253, 666 |
∴ So the LCM of the given numbers is 3 x 253 x 666 = 505494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505494
Therefore, the GCF of Fractions 9493/759,8955/1998 is 1/505494
Least Common Multiple of 759,1998 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 759,1998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,1998) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,1998) x common factors =3 x 1 = 3
LCM(759,1998) = ( 759 × 1998 ) / 3
LCM(759,1998) = 1516482 / 3
LCM(759,1998) = 505494
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9493/759, 8955/1998
1. What is the HCF of 9493,8955?
The HCF of 9493,8955 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 9493/759, 8955/1998?
Answer: GCF of Numerators as per given numbers 9493/759, 8955/1998 is
GCF of Numerators i.e. for 9493,8955 is 1
LCM of denominators i.e. for 759,1998 is 505494.
Thus, GCF of Fractions is 1/505494.Finally, GCF of Fractions for 9493/759, 8955/1998 is 1/505494.