GCF of 5454/366, 5194/4858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5454/366, 5194/4858 i.e 2/889014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5454/366, 5194/4858.
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 5454/366,5194/4858?
Given fractions are 5454/366,5194/4858
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 5454/366,5194/4858, numerators are 5454,5194
Denominators are 366,4858
The GCF of 5454,5194 is 2 .
LCM of 366,4858 is 889014.
The greatest common factor of 5454/366,5194/4858 = [GCF of 5454,5194]/[LCM of 366,4858]= 2/889014
Therefore, the GCF of 5454/366,5194/4858 is 2/889014.
To find the highest common factor of 5454,5194, we have to find the factors of both numbers and list the highest common factor.
The factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454
The factors of 5194 are 1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194
The HCF of 5454,5194 is 2.
Lets's calculate GCF of 5454,5194
| 2 | 5454, 5194 |
| 2727, 2597 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5454,5194 By Matching Biggest Common Factor Method
Now, list down the factors of 5454
:1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Now, list down the factors of 5194
:1,2,7,14,49,53,98,106,371,742,2597,5194
Greatest Common Factor
We found the factors 5454,5194 . The biggest common factor number is the GCF number.
So the greatest common factor 5454,5194 is 2.
Lets's calculate LCM of 366,4858
| 2 | 366, 4858 |
| 183, 2429 |
∴ So the LCM of the given numbers is 2 x 183 x 2429 = 889014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/889014
Therefore, the GCF of Fractions 5454/366,5194/4858 is 2/889014
Least Common Multiple of 366,4858 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 366,4858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,4858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,4858) x common factors =2 x 1 = 2
LCM(366,4858) = ( 366 × 4858 ) / 2
LCM(366,4858) = 1778028 / 2
LCM(366,4858) = 889014
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FAQs on GCF of Fractions of 5454/366, 5194/4858
1. What is the HCF of 5454,5194?
The HCF of 5454,5194 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 5454/366, 5194/4858?
Answer: GCF of Numerators as per given numbers 5454/366, 5194/4858 is
GCF of Numerators i.e. for 5454,5194 is 2
LCM of denominators i.e. for 366,4858 is 889014.
Thus, GCF of Fractions is 2/889014.Finally, GCF of Fractions for 5454/366, 5194/4858 is 2/889014.