GCF of 6476/228, 2043/4923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6476/228, 2043/4923 i.e 1/374148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6476/228, 2043/4923.
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 6476/228,2043/4923?
Given fractions are 6476/228,2043/4923
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 6476/228,2043/4923, numerators are 6476,2043
Denominators are 228,4923
The GCF of 6476,2043 is 1 .
LCM of 228,4923 is 374148.
The greatest common factor of 6476/228,2043/4923 = [GCF of 6476,2043]/[LCM of 228,4923]= 1/374148
Therefore, the GCF of 6476/228,2043/4923 is 1/374148.
To find the highest common factor of 6476,2043, we have to find the factors of both numbers and list the highest common factor.
The factors of 6476 are 1, 2, 4, 1619, 3238, 6476
The factors of 2043 are 1, 3, 9, 227, 681, 2043
The HCF of 6476,2043 is 1.
Lets's calculate GCF of 6476,2043
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6476,2043 By Matching Biggest Common Factor Method
Now, list down the factors of 6476
:1,2,4,1619,3238,6476
Now, list down the factors of 2043
:1,3,9,227,681,2043
Greatest Common Factor
We found the factors 6476,2043 . The biggest common factor number is the GCF number.
So the greatest common factor 6476,2043 is 1.
Lets's calculate LCM of 228,4923
| 3 | 228, 4923 |
| 76, 1641 |
∴ So the LCM of the given numbers is 3 x 76 x 1641 = 374148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374148
Therefore, the GCF of Fractions 6476/228,2043/4923 is 1/374148
Least Common Multiple of 228,4923 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 228,4923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,4923) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,4923) x common factors =3 x 1 = 3
LCM(228,4923) = ( 228 × 4923 ) / 3
LCM(228,4923) = 1122444 / 3
LCM(228,4923) = 374148
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FAQs on GCF of Fractions of 6476/228, 2043/4923
1. What is the HCF of 6476,2043?
The HCF of 6476,2043 is 1
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 6476/228, 2043/4923?
Answer: GCF of Numerators as per given numbers 6476/228, 2043/4923 is
GCF of Numerators i.e. for 6476,2043 is 1
LCM of denominators i.e. for 228,4923 is 374148.
Thus, GCF of Fractions is 1/374148.Finally, GCF of Fractions for 6476/228, 2043/4923 is 1/374148.