GCF of 5281/816, 4730/176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5281/816, 4730/176 i.e 1/8976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5281/816, 4730/176.
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 5281/816,4730/176?
Given fractions are 5281/816,4730/176
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 5281/816,4730/176, numerators are 5281,4730
Denominators are 816,176
The GCF of 5281,4730 is 1 .
LCM of 816,176 is 8976.
The greatest common factor of 5281/816,4730/176 = [GCF of 5281,4730]/[LCM of 816,176]= 1/8976
Therefore, the GCF of 5281/816,4730/176 is 1/8976.
To find the highest common factor of 5281,4730, we have to find the factors of both numbers and list the highest common factor.
The factors of 5281 are 1, 5281
The factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730
The HCF of 5281,4730 is 1.
Lets's calculate GCF of 5281,4730
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5281,4730 By Matching Biggest Common Factor Method
Now, list down the factors of 5281
:1,5281
Now, list down the factors of 4730
:1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730
Greatest Common Factor
We found the factors 5281,4730 . The biggest common factor number is the GCF number.
So the greatest common factor 5281,4730 is 1.
Lets's calculate LCM of 816,176
| 2 | 816, 176 |
| 2 | 408, 88 |
| 2 | 204, 44 |
| 2 | 102, 22 |
| 51, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 51 x 11 = 8976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8976
Therefore, the GCF of Fractions 5281/816,4730/176 is 1/8976
Least Common Multiple of 816,176 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 816,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,176) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(816,176) x common factors =16 x 1 = 16
LCM(816,176) = ( 816 × 176 ) / 16
LCM(816,176) = 143616 / 16
LCM(816,176) = 8976
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FAQs on GCF of Fractions of 5281/816, 4730/176
1. What is the HCF of 5281,4730?
The HCF of 5281,4730 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 5281/816, 4730/176?
Answer: GCF of Numerators as per given numbers 5281/816, 4730/176 is
GCF of Numerators i.e. for 5281,4730 is 1
LCM of denominators i.e. for 816,176 is 8976.
Thus, GCF of Fractions is 1/8976.Finally, GCF of Fractions for 5281/816, 4730/176 is 1/8976.