GCF of 4888/751, 2080/4252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4888/751, 2080/4252 i.e 104/3193252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4888/751, 2080/4252.
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 4888/751,2080/4252?
Given fractions are 4888/751,2080/4252
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 4888/751,2080/4252, numerators are 4888,2080
Denominators are 751,4252
The GCF of 4888,2080 is 104 .
LCM of 751,4252 is 3193252.
The greatest common factor of 4888/751,2080/4252 = [GCF of 4888,2080]/[LCM of 751,4252]= 104/3193252
Therefore, the GCF of 4888/751,2080/4252 is 104/3193252.
To find the highest common factor of 4888,2080, we have to find the factors of both numbers and list the highest common factor.
The factors of 4888 are 1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888
The factors of 2080 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080
The HCF of 4888,2080 is 104.
Lets's calculate GCF of 4888,2080
| 2 | 4888, 2080 |
| 2 | 2444, 1040 |
| 2 | 1222, 520 |
| 13 | 611, 260 |
| 47, 20 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104
Greatest Common Factor of 4888,2080 By Matching Biggest Common Factor Method
Now, list down the factors of 4888
:1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888
Now, list down the factors of 2080
:1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080
Greatest Common Factor
We found the factors 4888,2080 . The biggest common factor number is the GCF number.
So the greatest common factor 4888,2080 is 104.
Lets's calculate LCM of 751,4252
Given numbers has no common factors except 1. So, there LCM is their product i.e 3193252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 104/3193252
Therefore, the GCF of Fractions 4888/751,2080/4252 is 104/3193252
Least Common Multiple of 751,4252 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 751,4252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,4252) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,4252) x common factors =1 x 1 = 1
LCM(751,4252) = ( 751 × 4252 ) / 1
LCM(751,4252) = 3193252 / 1
LCM(751,4252) = 3193252
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FAQs on GCF of Fractions of 4888/751, 2080/4252
1. What is the HCF of 4888,2080?
The HCF of 4888,2080 is 104
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 4888/751, 2080/4252?
Answer: GCF of Numerators as per given numbers 4888/751, 2080/4252 is
GCF of Numerators i.e. for 4888,2080 is 104
LCM of denominators i.e. for 751,4252 is 3193252.
Thus, GCF of Fractions is 104/3193252.Finally, GCF of Fractions for 4888/751, 2080/4252 is 104/3193252.