GCF of 5500/259, 3614/957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5500/259, 3614/957 i.e 2/247863 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5500/259, 3614/957.
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 5500/259,3614/957?
Given fractions are 5500/259,3614/957
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 5500/259,3614/957, numerators are 5500,3614
Denominators are 259,957
The GCF of 5500,3614 is 2 .
LCM of 259,957 is 247863.
The greatest common factor of 5500/259,3614/957 = [GCF of 5500,3614]/[LCM of 259,957]= 2/247863
Therefore, the GCF of 5500/259,3614/957 is 2/247863.
To find the highest common factor of 5500,3614, we have to find the factors of both numbers and list the highest common factor.
The factors of 5500 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500
The factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614
The HCF of 5500,3614 is 2.
Lets's calculate GCF of 5500,3614
| 2 | 5500, 3614 |
| 2750, 1807 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5500,3614 By Matching Biggest Common Factor Method
Now, list down the factors of 5500
:1,2,4,5,10,11,20,22,25,44,50,55,100,110,125,220,250,275,500,550,1100,1375,2750,5500
Now, list down the factors of 3614
:1,2,13,26,139,278,1807,3614
Greatest Common Factor
We found the factors 5500,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 5500,3614 is 2.
Lets's calculate LCM of 259,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 247863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/247863
Therefore, the GCF of Fractions 5500/259,3614/957 is 2/247863
Least Common Multiple of 259,957 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 259,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,957) x common factors =1 x 1 = 1
LCM(259,957) = ( 259 × 957 ) / 1
LCM(259,957) = 247863 / 1
LCM(259,957) = 247863
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FAQs on GCF of Fractions of 5500/259, 3614/957
1. What is the HCF of 5500,3614?
The HCF of 5500,3614 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 5500/259, 3614/957?
Answer: GCF of Numerators as per given numbers 5500/259, 3614/957 is
GCF of Numerators i.e. for 5500,3614 is 2
LCM of denominators i.e. for 259,957 is 247863.
Thus, GCF of Fractions is 2/247863.Finally, GCF of Fractions for 5500/259, 3614/957 is 2/247863.