GCF of 4643/987, 7032/4473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4643/987, 7032/4473 i.e 1/210231 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4643/987, 7032/4473.
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 4643/987,7032/4473?
Given fractions are 4643/987,7032/4473
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 4643/987,7032/4473, numerators are 4643,7032
Denominators are 987,4473
The GCF of 4643,7032 is 1 .
LCM of 987,4473 is 210231.
The greatest common factor of 4643/987,7032/4473 = [GCF of 4643,7032]/[LCM of 987,4473]= 1/210231
Therefore, the GCF of 4643/987,7032/4473 is 1/210231.
To find the highest common factor of 4643,7032, we have to find the factors of both numbers and list the highest common factor.
The factors of 4643 are 1, 4643
The factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032
The HCF of 4643,7032 is 1.
Lets's calculate GCF of 4643,7032
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4643,7032 By Matching Biggest Common Factor Method
Now, list down the factors of 4643
:1,4643
Now, list down the factors of 7032
:1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032
Greatest Common Factor
We found the factors 4643,7032 . The biggest common factor number is the GCF number.
So the greatest common factor 4643,7032 is 1.
Lets's calculate LCM of 987,4473
| 3 | 987, 4473 |
| 7 | 329, 1491 |
| 47, 213 |
∴ So the LCM of the given numbers is 3 x 7 x 47 x 213 = 210231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210231
Therefore, the GCF of Fractions 4643/987,7032/4473 is 1/210231
Least Common Multiple of 987,4473 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 987,4473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,4473) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(987,4473) x common factors =21 x 1 = 21
LCM(987,4473) = ( 987 × 4473 ) / 21
LCM(987,4473) = 4414851 / 21
LCM(987,4473) = 210231
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FAQs on GCF of Fractions of 4643/987, 7032/4473
1. What is the HCF of 4643,7032?
The HCF of 4643,7032 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 4643/987, 7032/4473?
Answer: GCF of Numerators as per given numbers 4643/987, 7032/4473 is
GCF of Numerators i.e. for 4643,7032 is 1
LCM of denominators i.e. for 987,4473 is 210231.
Thus, GCF of Fractions is 1/210231.Finally, GCF of Fractions for 4643/987, 7032/4473 is 1/210231.