GCF of 5441/510, 8340/1228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5441/510, 8340/1228 i.e 1/313140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5441/510, 8340/1228.
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 5441/510,8340/1228?
Given fractions are 5441/510,8340/1228
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 5441/510,8340/1228, numerators are 5441,8340
Denominators are 510,1228
The GCF of 5441,8340 is 1 .
LCM of 510,1228 is 313140.
The greatest common factor of 5441/510,8340/1228 = [GCF of 5441,8340]/[LCM of 510,1228]= 1/313140
Therefore, the GCF of 5441/510,8340/1228 is 1/313140.
To find the highest common factor of 5441,8340, we have to find the factors of both numbers and list the highest common factor.
The factors of 5441 are 1, 5441
The factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
The HCF of 5441,8340 is 1.
Lets's calculate GCF of 5441,8340
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5441,8340 By Matching Biggest Common Factor Method
Now, list down the factors of 5441
:1,5441
Now, list down the factors of 8340
:1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Greatest Common Factor
We found the factors 5441,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 5441,8340 is 1.
Lets's calculate LCM of 510,1228
| 2 | 510, 1228 |
| 255, 614 |
∴ So the LCM of the given numbers is 2 x 255 x 614 = 313140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313140
Therefore, the GCF of Fractions 5441/510,8340/1228 is 1/313140
Least Common Multiple of 510,1228 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 510,1228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,1228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,1228) x common factors =2 x 1 = 2
LCM(510,1228) = ( 510 × 1228 ) / 2
LCM(510,1228) = 626280 / 2
LCM(510,1228) = 313140
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FAQs on GCF of Fractions of 5441/510, 8340/1228
1. What is the HCF of 5441,8340?
The HCF of 5441,8340 is 1
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 5441/510, 8340/1228?
Answer: GCF of Numerators as per given numbers 5441/510, 8340/1228 is
GCF of Numerators i.e. for 5441,8340 is 1
LCM of denominators i.e. for 510,1228 is 313140.
Thus, GCF of Fractions is 1/313140.Finally, GCF of Fractions for 5441/510, 8340/1228 is 1/313140.