GCF of 5480/605, 8838/6410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5480/605, 8838/6410 i.e 2/775610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5480/605, 8838/6410.
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 5480/605,8838/6410?
Given fractions are 5480/605,8838/6410
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 5480/605,8838/6410, numerators are 5480,8838
Denominators are 605,6410
The GCF of 5480,8838 is 2 .
LCM of 605,6410 is 775610.
The greatest common factor of 5480/605,8838/6410 = [GCF of 5480,8838]/[LCM of 605,6410]= 2/775610
Therefore, the GCF of 5480/605,8838/6410 is 2/775610.
To find the highest common factor of 5480,8838, we have to find the factors of both numbers and list the highest common factor.
The factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480
The factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838
The HCF of 5480,8838 is 2.
Lets's calculate GCF of 5480,8838
| 2 | 5480, 8838 |
| 2740, 4419 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5480,8838 By Matching Biggest Common Factor Method
Now, list down the factors of 5480
:1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480
Now, list down the factors of 8838
:1,2,3,6,9,18,491,982,1473,2946,4419,8838
Greatest Common Factor
We found the factors 5480,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 5480,8838 is 2.
Lets's calculate LCM of 605,6410
| 5 | 605, 6410 |
| 121, 1282 |
∴ So the LCM of the given numbers is 5 x 121 x 1282 = 775610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/775610
Therefore, the GCF of Fractions 5480/605,8838/6410 is 2/775610
Least Common Multiple of 605,6410 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 605,6410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,6410) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(605,6410) x common factors =5 x 1 = 5
LCM(605,6410) = ( 605 × 6410 ) / 5
LCM(605,6410) = 3878050 / 5
LCM(605,6410) = 775610
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FAQs on GCF of Fractions of 5480/605, 8838/6410
1. What is the HCF of 5480,8838?
The HCF of 5480,8838 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 5480/605, 8838/6410?
Answer: GCF of Numerators as per given numbers 5480/605, 8838/6410 is
GCF of Numerators i.e. for 5480,8838 is 2
LCM of denominators i.e. for 605,6410 is 775610.
Thus, GCF of Fractions is 2/775610.Finally, GCF of Fractions for 5480/605, 8838/6410 is 2/775610.