GCF of 612/11, 629/52, 426/24
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 612/11, 629/52, 426/24 i.e 1/3432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 612/11, 629/52, 426/24.
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 612/11,629/52,426/24?
Given fractions are 612/11,629/52,426/24
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 612/11,629/52,426/24, numerators are 612,629,426
Denominators are 11,52,24
The GCF of 612,629,426 is 1 .
LCM of 11,52,24 is 3432.
The greatest common factor of 612/11,629/52,426/24 = [GCF of 612,629,426]/[LCM of 11,52,24]= 1/3432
Therefore, the GCF of 612/11,629/52,426/24 is 1/3432.
To find the highest common factor of 612,629,426, we have to find the factors of both numbers and list the highest common factor.
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The factors of 629 are 1, 17, 37, 629
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The HCF of 612,629,426 is 1.
Lets's calculate GCF of 612,629,426
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 612,629,426 By Matching Biggest Common Factor Method
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Now, list down the factors of 629
:1,17,37,629
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 612,629,426 . The biggest common factor number is the GCF number.
So the greatest common factor 612,629,426 is 1.
Lets's calculate LCM of 11,52,24
| 2 | 11, 52, 24 |
| 2 | 11, 26, 12 |
| 11, 13, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 13 x 6 = 3432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3432
Therefore, the GCF of Fractions 612/11,629/52,426/24 is 1/3432
Least Common Multiple of 11,52,24 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 11,52,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,52,24) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(11,52,24) x common factors =1 x 4 = 4
LCM(11,52,24) = ( 11 × 52 × 24 ) / 4
LCM(11,52,24) = 13728 / 4
LCM(11,52,24) = 3432
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FAQs on GCF of Fractions of 612/11, 629/52, 426/24
1. What is the HCF of 612,629,426?
The HCF of 612,629,426 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 612/11, 629/52, 426/24?
Answer: GCF of Numerators as per given numbers 612/11, 629/52, 426/24 is
GCF of Numerators i.e. for 612,629,426 is 1
LCM of denominators i.e. for 11,52,24 is 3432.
Thus, GCF of Fractions is 1/3432.Finally, GCF of Fractions for 612/11, 629/52, 426/24 is 1/3432.