GCF of 8888/137, 1002/4086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8888/137, 1002/4086 i.e 2/559782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8888/137, 1002/4086.
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 8888/137,1002/4086?
Given fractions are 8888/137,1002/4086
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 8888/137,1002/4086, numerators are 8888,1002
Denominators are 137,4086
The GCF of 8888,1002 is 2 .
LCM of 137,4086 is 559782.
The greatest common factor of 8888/137,1002/4086 = [GCF of 8888,1002]/[LCM of 137,4086]= 2/559782
Therefore, the GCF of 8888/137,1002/4086 is 2/559782.
To find the highest common factor of 8888,1002, 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 1002 are 1, 2, 3, 6, 167, 334, 501, 1002
The HCF of 8888,1002 is 2.
Lets's calculate GCF of 8888,1002
| 2 | 8888, 1002 |
| 4444, 501 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8888,1002 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 1002
:1,2,3,6,167,334,501,1002
Greatest Common Factor
We found the factors 8888,1002 . The biggest common factor number is the GCF number.
So the greatest common factor 8888,1002 is 2.
Lets's calculate LCM of 137,4086
Given numbers has no common factors except 1. So, there LCM is their product i.e 559782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/559782
Therefore, the GCF of Fractions 8888/137,1002/4086 is 2/559782
Least Common Multiple of 137,4086 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 137,4086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,4086) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,4086) x common factors =1 x 1 = 1
LCM(137,4086) = ( 137 × 4086 ) / 1
LCM(137,4086) = 559782 / 1
LCM(137,4086) = 559782
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8888/137, 1002/4086
1. What is the HCF of 8888,1002?
The HCF of 8888,1002 is 2
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 8888/137, 1002/4086?
Answer: GCF of Numerators as per given numbers 8888/137, 1002/4086 is
GCF of Numerators i.e. for 8888,1002 is 2
LCM of denominators i.e. for 137,4086 is 559782.
Thus, GCF of Fractions is 2/559782.Finally, GCF of Fractions for 8888/137, 1002/4086 is 2/559782.