GCF of 5286/624, 4062/2103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5286/624, 4062/2103 i.e 6/437424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5286/624, 4062/2103.
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 5286/624,4062/2103?
Given fractions are 5286/624,4062/2103
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 5286/624,4062/2103, numerators are 5286,4062
Denominators are 624,2103
The GCF of 5286,4062 is 6 .
LCM of 624,2103 is 437424.
The greatest common factor of 5286/624,4062/2103 = [GCF of 5286,4062]/[LCM of 624,2103]= 6/437424
Therefore, the GCF of 5286/624,4062/2103 is 6/437424.
To find the highest common factor of 5286,4062, we have to find the factors of both numbers and list the highest common factor.
The factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, 5286
The factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062
The HCF of 5286,4062 is 6.
Lets's calculate GCF of 5286,4062
| 2 | 5286, 4062 |
| 3 | 2643, 2031 |
| 881, 677 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5286,4062 By Matching Biggest Common Factor Method
Now, list down the factors of 5286
:1,2,3,6,881,1762,2643,5286
Now, list down the factors of 4062
:1,2,3,6,677,1354,2031,4062
Greatest Common Factor
We found the factors 5286,4062 . The biggest common factor number is the GCF number.
So the greatest common factor 5286,4062 is 6.
Lets's calculate LCM of 624,2103
| 3 | 624, 2103 |
| 208, 701 |
∴ So the LCM of the given numbers is 3 x 208 x 701 = 437424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/437424
Therefore, the GCF of Fractions 5286/624,4062/2103 is 6/437424
Least Common Multiple of 624,2103 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 624,2103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,2103) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(624,2103) x common factors =3 x 1 = 3
LCM(624,2103) = ( 624 × 2103 ) / 3
LCM(624,2103) = 1312272 / 3
LCM(624,2103) = 437424
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FAQs on GCF of Fractions of 5286/624, 4062/2103
1. What is the HCF of 5286,4062?
The HCF of 5286,4062 is 6
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 5286/624, 4062/2103?
Answer: GCF of Numerators as per given numbers 5286/624, 4062/2103 is
GCF of Numerators i.e. for 5286,4062 is 6
LCM of denominators i.e. for 624,2103 is 437424.
Thus, GCF of Fractions is 6/437424.Finally, GCF of Fractions for 5286/624, 4062/2103 is 6/437424.