GCF of 4628/284, 5661/616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4628/284, 5661/616 i.e 1/43736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4628/284, 5661/616.
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 4628/284,5661/616?
Given fractions are 4628/284,5661/616
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 4628/284,5661/616, numerators are 4628,5661
Denominators are 284,616
The GCF of 4628,5661 is 1 .
LCM of 284,616 is 43736.
The greatest common factor of 4628/284,5661/616 = [GCF of 4628,5661]/[LCM of 284,616]= 1/43736
Therefore, the GCF of 4628/284,5661/616 is 1/43736.
To find the highest common factor of 4628,5661, we have to find the factors of both numbers and list the highest common factor.
The factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628
The factors of 5661 are 1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661
The HCF of 4628,5661 is 1.
Lets's calculate GCF of 4628,5661
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4628,5661 By Matching Biggest Common Factor Method
Now, list down the factors of 4628
:1,2,4,13,26,52,89,178,356,1157,2314,4628
Now, list down the factors of 5661
:1,3,9,17,37,51,111,153,333,629,1887,5661
Greatest Common Factor
We found the factors 4628,5661 . The biggest common factor number is the GCF number.
So the greatest common factor 4628,5661 is 1.
Lets's calculate LCM of 284,616
| 2 | 284, 616 |
| 2 | 142, 308 |
| 71, 154 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 154 = 43736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43736
Therefore, the GCF of Fractions 4628/284,5661/616 is 1/43736
Least Common Multiple of 284,616 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 284,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,616) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,616) x common factors =4 x 1 = 4
LCM(284,616) = ( 284 × 616 ) / 4
LCM(284,616) = 174944 / 4
LCM(284,616) = 43736
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FAQs on GCF of Fractions of 4628/284, 5661/616
1. What is the HCF of 4628,5661?
The HCF of 4628,5661 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 4628/284, 5661/616?
Answer: GCF of Numerators as per given numbers 4628/284, 5661/616 is
GCF of Numerators i.e. for 4628,5661 is 1
LCM of denominators i.e. for 284,616 is 43736.
Thus, GCF of Fractions is 1/43736.Finally, GCF of Fractions for 4628/284, 5661/616 is 1/43736.