GCF of 9053/993, 3503/2118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9053/993, 3503/2118 i.e 1/701058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9053/993, 3503/2118.
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 9053/993,3503/2118?
Given fractions are 9053/993,3503/2118
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 9053/993,3503/2118, numerators are 9053,3503
Denominators are 993,2118
The GCF of 9053,3503 is 1 .
LCM of 993,2118 is 701058.
The greatest common factor of 9053/993,3503/2118 = [GCF of 9053,3503]/[LCM of 993,2118]= 1/701058
Therefore, the GCF of 9053/993,3503/2118 is 1/701058.
To find the highest common factor of 9053,3503, we have to find the factors of both numbers and list the highest common factor.
The factors of 9053 are 1, 11, 823, 9053
The factors of 3503 are 1, 31, 113, 3503
The HCF of 9053,3503 is 1.
Lets's calculate GCF of 9053,3503
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9053,3503 By Matching Biggest Common Factor Method
Now, list down the factors of 9053
:1,11,823,9053
Now, list down the factors of 3503
:1,31,113,3503
Greatest Common Factor
We found the factors 9053,3503 . The biggest common factor number is the GCF number.
So the greatest common factor 9053,3503 is 1.
Lets's calculate LCM of 993,2118
| 3 | 993, 2118 |
| 331, 706 |
∴ So the LCM of the given numbers is 3 x 331 x 706 = 701058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/701058
Therefore, the GCF of Fractions 9053/993,3503/2118 is 1/701058
Least Common Multiple of 993,2118 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 993,2118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,2118) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,2118) x common factors =3 x 1 = 3
LCM(993,2118) = ( 993 × 2118 ) / 3
LCM(993,2118) = 2103174 / 3
LCM(993,2118) = 701058
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FAQs on GCF of Fractions of 9053/993, 3503/2118
1. What is the HCF of 9053,3503?
The HCF of 9053,3503 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 9053/993, 3503/2118?
Answer: GCF of Numerators as per given numbers 9053/993, 3503/2118 is
GCF of Numerators i.e. for 9053,3503 is 1
LCM of denominators i.e. for 993,2118 is 701058.
Thus, GCF of Fractions is 1/701058.Finally, GCF of Fractions for 9053/993, 3503/2118 is 1/701058.