GCF of 4550/171, 5516/2247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4550/171, 5516/2247 i.e 14/128079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4550/171, 5516/2247.
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 4550/171,5516/2247?
Given fractions are 4550/171,5516/2247
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 4550/171,5516/2247, numerators are 4550,5516
Denominators are 171,2247
The GCF of 4550,5516 is 14 .
LCM of 171,2247 is 128079.
The greatest common factor of 4550/171,5516/2247 = [GCF of 4550,5516]/[LCM of 171,2247]= 14/128079
Therefore, the GCF of 4550/171,5516/2247 is 14/128079.
To find the highest common factor of 4550,5516, we have to find the factors of both numbers and list the highest common factor.
The factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550
The factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516
The HCF of 4550,5516 is 14.
Lets's calculate GCF of 4550,5516
| 2 | 4550, 5516 |
| 7 | 2275, 2758 |
| 325, 394 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4550,5516 By Matching Biggest Common Factor Method
Now, list down the factors of 4550
:1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550
Now, list down the factors of 5516
:1,2,4,7,14,28,197,394,788,1379,2758,5516
Greatest Common Factor
We found the factors 4550,5516 . The biggest common factor number is the GCF number.
So the greatest common factor 4550,5516 is 14.
Lets's calculate LCM of 171,2247
| 3 | 171, 2247 |
| 57, 749 |
∴ So the LCM of the given numbers is 3 x 57 x 749 = 128079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/128079
Therefore, the GCF of Fractions 4550/171,5516/2247 is 14/128079
Least Common Multiple of 171,2247 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 171,2247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,2247) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,2247) x common factors =3 x 1 = 3
LCM(171,2247) = ( 171 × 2247 ) / 3
LCM(171,2247) = 384237 / 3
LCM(171,2247) = 128079
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FAQs on GCF of Fractions of 4550/171, 5516/2247
1. What is the HCF of 4550,5516?
The HCF of 4550,5516 is 14
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 4550/171, 5516/2247?
Answer: GCF of Numerators as per given numbers 4550/171, 5516/2247 is
GCF of Numerators i.e. for 4550,5516 is 14
LCM of denominators i.e. for 171,2247 is 128079.
Thus, GCF of Fractions is 14/128079.Finally, GCF of Fractions for 4550/171, 5516/2247 is 14/128079.