GCF of 8986/901, 3030/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8986/901, 3030/476 i.e 2/25228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8986/901, 3030/476.
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 8986/901,3030/476?
Given fractions are 8986/901,3030/476
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 8986/901,3030/476, numerators are 8986,3030
Denominators are 901,476
The GCF of 8986,3030 is 2 .
LCM of 901,476 is 25228.
The greatest common factor of 8986/901,3030/476 = [GCF of 8986,3030]/[LCM of 901,476]= 2/25228
Therefore, the GCF of 8986/901,3030/476 is 2/25228.
To find the highest common factor of 8986,3030, we have to find the factors of both numbers and list the highest common factor.
The factors of 8986 are 1, 2, 4493, 8986
The factors of 3030 are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030
The HCF of 8986,3030 is 2.
Lets's calculate GCF of 8986,3030
| 2 | 8986, 3030 |
| 4493, 1515 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8986,3030 By Matching Biggest Common Factor Method
Now, list down the factors of 8986
:1,2,4493,8986
Now, list down the factors of 3030
:1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030
Greatest Common Factor
We found the factors 8986,3030 . The biggest common factor number is the GCF number.
So the greatest common factor 8986,3030 is 2.
Lets's calculate LCM of 901,476
| 17 | 901, 476 |
| 53, 28 |
∴ So the LCM of the given numbers is 17 x 53 x 28 = 25228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25228
Therefore, the GCF of Fractions 8986/901,3030/476 is 2/25228
Least Common Multiple of 901,476 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 901,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,476) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(901,476) x common factors =17 x 1 = 17
LCM(901,476) = ( 901 × 476 ) / 17
LCM(901,476) = 428876 / 17
LCM(901,476) = 25228
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FAQs on GCF of Fractions of 8986/901, 3030/476
1. What is the HCF of 8986,3030?
The HCF of 8986,3030 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 8986/901, 3030/476?
Answer: GCF of Numerators as per given numbers 8986/901, 3030/476 is
GCF of Numerators i.e. for 8986,3030 is 2
LCM of denominators i.e. for 901,476 is 25228.
Thus, GCF of Fractions is 2/25228.Finally, GCF of Fractions for 8986/901, 3030/476 is 2/25228.