GCF of 2424/201, 7038/6576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2424/201, 7038/6576 i.e 6/440592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2424/201, 7038/6576.
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 2424/201,7038/6576?
Given fractions are 2424/201,7038/6576
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 2424/201,7038/6576, numerators are 2424,7038
Denominators are 201,6576
The GCF of 2424,7038 is 6 .
LCM of 201,6576 is 440592.
The greatest common factor of 2424/201,7038/6576 = [GCF of 2424,7038]/[LCM of 201,6576]= 6/440592
Therefore, the GCF of 2424/201,7038/6576 is 6/440592.
To find the highest common factor of 2424,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 2424,7038 is 6.
Lets's calculate GCF of 2424,7038
| 2 | 2424, 7038 |
| 3 | 1212, 3519 |
| 404, 1173 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2424,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 2424
:1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 2424,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 2424,7038 is 6.
Lets's calculate LCM of 201,6576
| 3 | 201, 6576 |
| 67, 2192 |
∴ So the LCM of the given numbers is 3 x 67 x 2192 = 440592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/440592
Therefore, the GCF of Fractions 2424/201,7038/6576 is 6/440592
Least Common Multiple of 201,6576 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 201,6576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,6576) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,6576) x common factors =3 x 1 = 3
LCM(201,6576) = ( 201 × 6576 ) / 3
LCM(201,6576) = 1321776 / 3
LCM(201,6576) = 440592
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2424/201, 7038/6576
1. What is the HCF of 2424,7038?
The HCF of 2424,7038 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 2424/201, 7038/6576?
Answer: GCF of Numerators as per given numbers 2424/201, 7038/6576 is
GCF of Numerators i.e. for 2424,7038 is 6
LCM of denominators i.e. for 201,6576 is 440592.
Thus, GCF of Fractions is 6/440592.Finally, GCF of Fractions for 2424/201, 7038/6576 is 6/440592.