GCF of 333/942, 2297/663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 333/942, 2297/663 i.e 1/208182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 333/942, 2297/663.
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 333/942,2297/663?
Given fractions are 333/942,2297/663
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 333/942,2297/663, numerators are 333,2297
Denominators are 942,663
The GCF of 333,2297 is 1 .
LCM of 942,663 is 208182.
The greatest common factor of 333/942,2297/663 = [GCF of 333,2297]/[LCM of 942,663]= 1/208182
Therefore, the GCF of 333/942,2297/663 is 1/208182.
To find the highest common factor of 333,2297, we have to find the factors of both numbers and list the highest common factor.
The factors of 333 are 1, 3, 9, 37, 111, 333
The factors of 2297 are 1, 2297
The HCF of 333,2297 is 1.
Lets's calculate GCF of 333,2297
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 333,2297 By Matching Biggest Common Factor Method
Now, list down the factors of 333
:1,3,9,37,111,333
Now, list down the factors of 2297
:1,2297
Greatest Common Factor
We found the factors 333,2297 . The biggest common factor number is the GCF number.
So the greatest common factor 333,2297 is 1.
Lets's calculate LCM of 942,663
| 3 | 942, 663 |
| 314, 221 |
∴ So the LCM of the given numbers is 3 x 314 x 221 = 208182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208182
Therefore, the GCF of Fractions 333/942,2297/663 is 1/208182
Least Common Multiple of 942,663 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 942,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,663) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(942,663) x common factors =3 x 1 = 3
LCM(942,663) = ( 942 × 663 ) / 3
LCM(942,663) = 624546 / 3
LCM(942,663) = 208182
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FAQs on GCF of Fractions of 333/942, 2297/663
1. What is the HCF of 333,2297?
The HCF of 333,2297 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 333/942, 2297/663?
Answer: GCF of Numerators as per given numbers 333/942, 2297/663 is
GCF of Numerators i.e. for 333,2297 is 1
LCM of denominators i.e. for 942,663 is 208182.
Thus, GCF of Fractions is 1/208182.Finally, GCF of Fractions for 333/942, 2297/663 is 1/208182.