GCF of 3114/633, 3501/459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3114/633, 3501/459 i.e 9/96849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3114/633, 3501/459.
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 3114/633,3501/459?
Given fractions are 3114/633,3501/459
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 3114/633,3501/459, numerators are 3114,3501
Denominators are 633,459
The GCF of 3114,3501 is 9 .
LCM of 633,459 is 96849.
The greatest common factor of 3114/633,3501/459 = [GCF of 3114,3501]/[LCM of 633,459]= 9/96849
Therefore, the GCF of 3114/633,3501/459 is 9/96849.
To find the highest common factor of 3114,3501, we have to find the factors of both numbers and list the highest common factor.
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The factors of 3501 are 1, 3, 9, 389, 1167, 3501
The HCF of 3114,3501 is 9.
Lets's calculate GCF of 3114,3501
| 3 | 3114, 3501 |
| 3 | 1038, 1167 |
| 346, 389 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3114,3501 By Matching Biggest Common Factor Method
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Now, list down the factors of 3501
:1,3,9,389,1167,3501
Greatest Common Factor
We found the factors 3114,3501 . The biggest common factor number is the GCF number.
So the greatest common factor 3114,3501 is 9.
Lets's calculate LCM of 633,459
| 3 | 633, 459 |
| 211, 153 |
∴ So the LCM of the given numbers is 3 x 211 x 153 = 96849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/96849
Therefore, the GCF of Fractions 3114/633,3501/459 is 9/96849
Least Common Multiple of 633,459 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 633,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,459) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(633,459) x common factors =3 x 1 = 3
LCM(633,459) = ( 633 × 459 ) / 3
LCM(633,459) = 290547 / 3
LCM(633,459) = 96849
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FAQs on GCF of Fractions of 3114/633, 3501/459
1. What is the HCF of 3114,3501?
The HCF of 3114,3501 is 9
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 3114/633, 3501/459?
Answer: GCF of Numerators as per given numbers 3114/633, 3501/459 is
GCF of Numerators i.e. for 3114,3501 is 9
LCM of denominators i.e. for 633,459 is 96849.
Thus, GCF of Fractions is 9/96849.Finally, GCF of Fractions for 3114/633, 3501/459 is 9/96849.