GCF of 693/48, 106/9903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 693/48, 106/9903 i.e 1/158448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/48, 106/9903.
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 693/48,106/9903?
Given fractions are 693/48,106/9903
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 693/48,106/9903, numerators are 693,106
Denominators are 48,9903
The GCF of 693,106 is 1 .
LCM of 48,9903 is 158448.
The greatest common factor of 693/48,106/9903 = [GCF of 693,106]/[LCM of 48,9903]= 1/158448
Therefore, the GCF of 693/48,106/9903 is 1/158448.
To find the highest common factor of 693,106, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 106 are 1, 2, 53, 106
The HCF of 693,106 is 1.
Lets's calculate GCF of 693,106
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 693,106 By Matching Biggest Common Factor Method
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 106
:1,2,53,106
Greatest Common Factor
We found the factors 693,106 . The biggest common factor number is the GCF number.
So the greatest common factor 693,106 is 1.
Lets's calculate LCM of 48,9903
| 3 | 48, 9903 |
| 16, 3301 |
∴ So the LCM of the given numbers is 3 x 16 x 3301 = 158448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158448
Therefore, the GCF of Fractions 693/48,106/9903 is 1/158448
Least Common Multiple of 48,9903 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 48,9903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,9903) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(48,9903) x common factors =3 x 1 = 3
LCM(48,9903) = ( 48 × 9903 ) / 3
LCM(48,9903) = 475344 / 3
LCM(48,9903) = 158448
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FAQs on GCF of Fractions of 693/48, 106/9903
1. What is the HCF of 693,106?
The HCF of 693,106 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 693/48, 106/9903?
Answer: GCF of Numerators as per given numbers 693/48, 106/9903 is
GCF of Numerators i.e. for 693,106 is 1
LCM of denominators i.e. for 48,9903 is 158448.
Thus, GCF of Fractions is 1/158448.Finally, GCF of Fractions for 693/48, 106/9903 is 1/158448.