GCF of 954/211, 2859/459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 954/211, 2859/459 i.e 3/96849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/211, 2859/459.
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 954/211,2859/459?
Given fractions are 954/211,2859/459
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 954/211,2859/459, numerators are 954,2859
Denominators are 211,459
The GCF of 954,2859 is 3 .
LCM of 211,459 is 96849.
The greatest common factor of 954/211,2859/459 = [GCF of 954,2859]/[LCM of 211,459]= 3/96849
Therefore, the GCF of 954/211,2859/459 is 3/96849.
To find the highest common factor of 954,2859, we have to find the factors of both numbers and list the highest common factor.
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The factors of 2859 are 1, 3, 953, 2859
The HCF of 954,2859 is 3.
Lets's calculate GCF of 954,2859
| 3 | 954, 2859 |
| 318, 953 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 954,2859 By Matching Biggest Common Factor Method
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Now, list down the factors of 2859
:1,3,953,2859
Greatest Common Factor
We found the factors 954,2859 . The biggest common factor number is the GCF number.
So the greatest common factor 954,2859 is 3.
Lets's calculate LCM of 211,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 96849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/96849
Therefore, the GCF of Fractions 954/211,2859/459 is 3/96849
Least Common Multiple of 211,459 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 211,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,459) x common factors =1 x 1 = 1
LCM(211,459) = ( 211 × 459 ) / 1
LCM(211,459) = 96849 / 1
LCM(211,459) = 96849
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FAQs on GCF of Fractions of 954/211, 2859/459
1. What is the HCF of 954,2859?
The HCF of 954,2859 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 954/211, 2859/459?
Answer: GCF of Numerators as per given numbers 954/211, 2859/459 is
GCF of Numerators i.e. for 954,2859 is 3
LCM of denominators i.e. for 211,459 is 96849.
Thus, GCF of Fractions is 3/96849.Finally, GCF of Fractions for 954/211, 2859/459 is 3/96849.