GCF of 8994/203, 3963/8741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8994/203, 3963/8741 i.e 3/1774423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8994/203, 3963/8741.
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 8994/203,3963/8741?
Given fractions are 8994/203,3963/8741
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 8994/203,3963/8741, numerators are 8994,3963
Denominators are 203,8741
The GCF of 8994,3963 is 3 .
LCM of 203,8741 is 1774423.
The greatest common factor of 8994/203,3963/8741 = [GCF of 8994,3963]/[LCM of 203,8741]= 3/1774423
Therefore, the GCF of 8994/203,3963/8741 is 3/1774423.
To find the highest common factor of 8994,3963, we have to find the factors of both numbers and list the highest common factor.
The factors of 8994 are 1, 2, 3, 6, 1499, 2998, 4497, 8994
The factors of 3963 are 1, 3, 1321, 3963
The HCF of 8994,3963 is 3.
Lets's calculate GCF of 8994,3963
| 3 | 8994, 3963 |
| 2998, 1321 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8994,3963 By Matching Biggest Common Factor Method
Now, list down the factors of 8994
:1,2,3,6,1499,2998,4497,8994
Now, list down the factors of 3963
:1,3,1321,3963
Greatest Common Factor
We found the factors 8994,3963 . The biggest common factor number is the GCF number.
So the greatest common factor 8994,3963 is 3.
Lets's calculate LCM of 203,8741
Given numbers has no common factors except 1. So, there LCM is their product i.e 1774423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1774423
Therefore, the GCF of Fractions 8994/203,3963/8741 is 3/1774423
Least Common Multiple of 203,8741 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 203,8741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,8741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,8741) x common factors =1 x 1 = 1
LCM(203,8741) = ( 203 × 8741 ) / 1
LCM(203,8741) = 1774423 / 1
LCM(203,8741) = 1774423
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FAQs on GCF of Fractions of 8994/203, 3963/8741
1. What is the HCF of 8994,3963?
The HCF of 8994,3963 is 3
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 8994/203, 3963/8741?
Answer: GCF of Numerators as per given numbers 8994/203, 3963/8741 is
GCF of Numerators i.e. for 8994,3963 is 3
LCM of denominators i.e. for 203,8741 is 1774423.
Thus, GCF of Fractions is 3/1774423.Finally, GCF of Fractions for 8994/203, 3963/8741 is 3/1774423.