GCF of 2424/414, 1071/5880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2424/414, 1071/5880 i.e 3/405720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2424/414, 1071/5880.
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 2424/414,1071/5880?
Given fractions are 2424/414,1071/5880
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 2424/414,1071/5880, numerators are 2424,1071
Denominators are 414,5880
The GCF of 2424,1071 is 3 .
LCM of 414,5880 is 405720.
The greatest common factor of 2424/414,1071/5880 = [GCF of 2424,1071]/[LCM of 414,5880]= 3/405720
Therefore, the GCF of 2424/414,1071/5880 is 3/405720.
To find the highest common factor of 2424,1071, 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 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071
The HCF of 2424,1071 is 3.
Lets's calculate GCF of 2424,1071
| 3 | 2424, 1071 |
| 808, 357 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2424,1071 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 1071
:1,3,7,9,17,21,51,63,119,153,357,1071
Greatest Common Factor
We found the factors 2424,1071 . The biggest common factor number is the GCF number.
So the greatest common factor 2424,1071 is 3.
Lets's calculate LCM of 414,5880
| 2 | 414, 5880 |
| 3 | 207, 2940 |
| 69, 980 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 980 = 405720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/405720
Therefore, the GCF of Fractions 2424/414,1071/5880 is 3/405720
Least Common Multiple of 414,5880 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 414,5880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,5880) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(414,5880) x common factors =6 x 1 = 6
LCM(414,5880) = ( 414 × 5880 ) / 6
LCM(414,5880) = 2434320 / 6
LCM(414,5880) = 405720
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FAQs on GCF of Fractions of 2424/414, 1071/5880
1. What is the HCF of 2424,1071?
The HCF of 2424,1071 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 2424/414, 1071/5880?
Answer: GCF of Numerators as per given numbers 2424/414, 1071/5880 is
GCF of Numerators i.e. for 2424,1071 is 3
LCM of denominators i.e. for 414,5880 is 405720.
Thus, GCF of Fractions is 3/405720.Finally, GCF of Fractions for 2424/414, 1071/5880 is 3/405720.