GCF of 5248/579, 4656/2645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5248/579, 4656/2645 i.e 16/1531455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5248/579, 4656/2645.
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 5248/579,4656/2645?
Given fractions are 5248/579,4656/2645
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 5248/579,4656/2645, numerators are 5248,4656
Denominators are 579,2645
The GCF of 5248,4656 is 16 .
LCM of 579,2645 is 1531455.
The greatest common factor of 5248/579,4656/2645 = [GCF of 5248,4656]/[LCM of 579,2645]= 16/1531455
Therefore, the GCF of 5248/579,4656/2645 is 16/1531455.
To find the highest common factor of 5248,4656, we have to find the factors of both numbers and list the highest common factor.
The factors of 5248 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 328, 656, 1312, 2624, 5248
The factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656
The HCF of 5248,4656 is 16.
Lets's calculate GCF of 5248,4656
| 2 | 5248, 4656 |
| 2 | 2624, 2328 |
| 2 | 1312, 1164 |
| 2 | 656, 582 |
| 328, 291 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5248,4656 By Matching Biggest Common Factor Method
Now, list down the factors of 5248
:1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248
Now, list down the factors of 4656
:1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656
Greatest Common Factor
We found the factors 5248,4656 . The biggest common factor number is the GCF number.
So the greatest common factor 5248,4656 is 16.
Lets's calculate LCM of 579,2645
Given numbers has no common factors except 1. So, there LCM is their product i.e 1531455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1531455
Therefore, the GCF of Fractions 5248/579,4656/2645 is 16/1531455
Least Common Multiple of 579,2645 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 579,2645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,2645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,2645) x common factors =1 x 1 = 1
LCM(579,2645) = ( 579 × 2645 ) / 1
LCM(579,2645) = 1531455 / 1
LCM(579,2645) = 1531455
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FAQs on GCF of Fractions of 5248/579, 4656/2645
1. What is the HCF of 5248,4656?
The HCF of 5248,4656 is 16
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 5248/579, 4656/2645?
Answer: GCF of Numerators as per given numbers 5248/579, 4656/2645 is
GCF of Numerators i.e. for 5248,4656 is 16
LCM of denominators i.e. for 579,2645 is 1531455.
Thus, GCF of Fractions is 16/1531455.Finally, GCF of Fractions for 5248/579, 4656/2645 is 16/1531455.