GCF of 8888/875, 4648/125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8888/875, 4648/125 i.e 8/875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8888/875, 4648/125.
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 8888/875,4648/125?
Given fractions are 8888/875,4648/125
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 8888/875,4648/125, numerators are 8888,4648
Denominators are 875,125
The GCF of 8888,4648 is 8 .
LCM of 875,125 is 875.
The greatest common factor of 8888/875,4648/125 = [GCF of 8888,4648]/[LCM of 875,125]= 8/875
Therefore, the GCF of 8888/875,4648/125 is 8/875.
To find the highest common factor of 8888,4648, we have to find the factors of both numbers and list the highest common factor.
The factors of 8888 are 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888
The factors of 4648 are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648
The HCF of 8888,4648 is 8.
Lets's calculate GCF of 8888,4648
| 2 | 8888, 4648 |
| 2 | 4444, 2324 |
| 2 | 2222, 1162 |
| 1111, 581 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8888,4648 By Matching Biggest Common Factor Method
Now, list down the factors of 8888
:1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888
Now, list down the factors of 4648
:1,2,4,7,8,14,28,56,83,166,332,581,664,1162,2324,4648
Greatest Common Factor
We found the factors 8888,4648 . The biggest common factor number is the GCF number.
So the greatest common factor 8888,4648 is 8.
Lets's calculate LCM of 875,125
| 5 | 875, 125 |
| 5 | 175, 25 |
| 5 | 35, 5 |
| 7, 1 |
∴ So the LCM of the given numbers is 5 x 5 x 5 x 7 x 1 = 875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/875
Therefore, the GCF of Fractions 8888/875,4648/125 is 8/875
Least Common Multiple of 875,125 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 875,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,125) = 125
common factors(in case of two or more numbers have common factors) = 1
GCF(875,125) x common factors =125 x 1 = 125
LCM(875,125) = ( 875 × 125 ) / 125
LCM(875,125) = 109375 / 125
LCM(875,125) = 875
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FAQs on GCF of Fractions of 8888/875, 4648/125
1. What is the HCF of 8888,4648?
The HCF of 8888,4648 is 8
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 8888/875, 4648/125?
Answer: GCF of Numerators as per given numbers 8888/875, 4648/125 is
GCF of Numerators i.e. for 8888,4648 is 8
LCM of denominators i.e. for 875,125 is 875.
Thus, GCF of Fractions is 8/875.Finally, GCF of Fractions for 8888/875, 4648/125 is 8/875.