GCF of 994/271, 458/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/271, 458/465 i.e 2/126015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/271, 458/465.
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 994/271,458/465?
Given fractions are 994/271,458/465
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 994/271,458/465, numerators are 994,458
Denominators are 271,465
The GCF of 994,458 is 2 .
LCM of 271,465 is 126015.
The greatest common factor of 994/271,458/465 = [GCF of 994,458]/[LCM of 271,465]= 2/126015
Therefore, the GCF of 994/271,458/465 is 2/126015.
To find the highest common factor of 994,458, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 458 are 1, 2, 229, 458
The HCF of 994,458 is 2.
Lets's calculate GCF of 994,458
| 2 | 994, 458 |
| 497, 229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 994,458 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 994,458 . The biggest common factor number is the GCF number.
So the greatest common factor 994,458 is 2.
Lets's calculate LCM of 271,465
Given numbers has no common factors except 1. So, there LCM is their product i.e 126015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126015
Therefore, the GCF of Fractions 994/271,458/465 is 2/126015
Least Common Multiple of 271,465 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 271,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,465) x common factors =1 x 1 = 1
LCM(271,465) = ( 271 × 465 ) / 1
LCM(271,465) = 126015 / 1
LCM(271,465) = 126015
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FAQs on GCF of Fractions of 994/271, 458/465
1. What is the HCF of 994,458?
The HCF of 994,458 is 2
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 994/271, 458/465?
Answer: GCF of Numerators as per given numbers 994/271, 458/465 is
GCF of Numerators i.e. for 994,458 is 2
LCM of denominators i.e. for 271,465 is 126015.
Thus, GCF of Fractions is 2/126015.Finally, GCF of Fractions for 994/271, 458/465 is 2/126015.