GCF of 5491/454, 2318/8235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5491/454, 2318/8235 i.e 19/3738690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5491/454, 2318/8235.
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 5491/454,2318/8235?
Given fractions are 5491/454,2318/8235
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 5491/454,2318/8235, numerators are 5491,2318
Denominators are 454,8235
The GCF of 5491,2318 is 19 .
LCM of 454,8235 is 3738690.
The greatest common factor of 5491/454,2318/8235 = [GCF of 5491,2318]/[LCM of 454,8235]= 19/3738690
Therefore, the GCF of 5491/454,2318/8235 is 19/3738690.
To find the highest common factor of 5491,2318, we have to find the factors of both numbers and list the highest common factor.
The factors of 5491 are 1, 17, 19, 289, 323, 5491
The factors of 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318
The HCF of 5491,2318 is 19.
Lets's calculate GCF of 5491,2318
| 19 | 5491, 2318 |
| 289, 122 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 5491,2318 By Matching Biggest Common Factor Method
Now, list down the factors of 5491
:1,17,19,289,323,5491
Now, list down the factors of 2318
:1,2,19,38,61,122,1159,2318
Greatest Common Factor
We found the factors 5491,2318 . The biggest common factor number is the GCF number.
So the greatest common factor 5491,2318 is 19.
Lets's calculate LCM of 454,8235
Given numbers has no common factors except 1. So, there LCM is their product i.e 3738690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/3738690
Therefore, the GCF of Fractions 5491/454,2318/8235 is 19/3738690
Least Common Multiple of 454,8235 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 454,8235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,8235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,8235) x common factors =1 x 1 = 1
LCM(454,8235) = ( 454 × 8235 ) / 1
LCM(454,8235) = 3738690 / 1
LCM(454,8235) = 3738690
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FAQs on GCF of Fractions of 5491/454, 2318/8235
1. What is the HCF of 5491,2318?
The HCF of 5491,2318 is 19
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 5491/454, 2318/8235?
Answer: GCF of Numerators as per given numbers 5491/454, 2318/8235 is
GCF of Numerators i.e. for 5491,2318 is 19
LCM of denominators i.e. for 454,8235 is 3738690.
Thus, GCF of Fractions is 19/3738690.Finally, GCF of Fractions for 5491/454, 2318/8235 is 19/3738690.