GCF of 933/309, 975/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 933/309, 975/114 i.e 3/11742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 933/309, 975/114.
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 933/309,975/114?
Given fractions are 933/309,975/114
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 933/309,975/114, numerators are 933,975
Denominators are 309,114
The GCF of 933,975 is 3 .
LCM of 309,114 is 11742.
The greatest common factor of 933/309,975/114 = [GCF of 933,975]/[LCM of 309,114]= 3/11742
Therefore, the GCF of 933/309,975/114 is 3/11742.
To find the highest common factor of 933,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 933 are 1, 3, 311, 933
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 933,975 is 3.
Lets's calculate GCF of 933,975
| 3 | 933, 975 |
| 311, 325 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 933,975 By Matching Biggest Common Factor Method
Now, list down the factors of 933
:1,3,311,933
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 933,975 . The biggest common factor number is the GCF number.
So the greatest common factor 933,975 is 3.
Lets's calculate LCM of 309,114
| 3 | 309, 114 |
| 103, 38 |
∴ So the LCM of the given numbers is 3 x 103 x 38 = 11742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11742
Therefore, the GCF of Fractions 933/309,975/114 is 3/11742
Least Common Multiple of 309,114 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 309,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,114) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,114) x common factors =3 x 1 = 3
LCM(309,114) = ( 309 × 114 ) / 3
LCM(309,114) = 35226 / 3
LCM(309,114) = 11742
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FAQs on GCF of Fractions of 933/309, 975/114
1. What is the HCF of 933,975?
The HCF of 933,975 is 3
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 933/309, 975/114?
Answer: GCF of Numerators as per given numbers 933/309, 975/114 is
GCF of Numerators i.e. for 933,975 is 3
LCM of denominators i.e. for 309,114 is 11742.
Thus, GCF of Fractions is 3/11742.Finally, GCF of Fractions for 933/309, 975/114 is 3/11742.