GCF of 1612/829, 3042/3928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1612/829, 3042/3928 i.e 26/3256312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1612/829, 3042/3928.
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 1612/829,3042/3928?
Given fractions are 1612/829,3042/3928
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 1612/829,3042/3928, numerators are 1612,3042
Denominators are 829,3928
The GCF of 1612,3042 is 26 .
LCM of 829,3928 is 3256312.
The greatest common factor of 1612/829,3042/3928 = [GCF of 1612,3042]/[LCM of 829,3928]= 26/3256312
Therefore, the GCF of 1612/829,3042/3928 is 26/3256312.
To find the highest common factor of 1612,3042, we have to find the factors of both numbers and list the highest common factor.
The factors of 1612 are 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612
The factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042
The HCF of 1612,3042 is 26.
Lets's calculate GCF of 1612,3042
| 2 | 1612, 3042 |
| 13 | 806, 1521 |
| 62, 117 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 1612,3042 By Matching Biggest Common Factor Method
Now, list down the factors of 1612
:1,2,4,13,26,31,52,62,124,403,806,1612
Now, list down the factors of 3042
:1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042
Greatest Common Factor
We found the factors 1612,3042 . The biggest common factor number is the GCF number.
So the greatest common factor 1612,3042 is 26.
Lets's calculate LCM of 829,3928
Given numbers has no common factors except 1. So, there LCM is their product i.e 3256312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/3256312
Therefore, the GCF of Fractions 1612/829,3042/3928 is 26/3256312
Least Common Multiple of 829,3928 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 829,3928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,3928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,3928) x common factors =1 x 1 = 1
LCM(829,3928) = ( 829 × 3928 ) / 1
LCM(829,3928) = 3256312 / 1
LCM(829,3928) = 3256312
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FAQs on GCF of Fractions of 1612/829, 3042/3928
1. What is the HCF of 1612,3042?
The HCF of 1612,3042 is 26
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 1612/829, 3042/3928?
Answer: GCF of Numerators as per given numbers 1612/829, 3042/3928 is
GCF of Numerators i.e. for 1612,3042 is 26
LCM of denominators i.e. for 829,3928 is 3256312.
Thus, GCF of Fractions is 26/3256312.Finally, GCF of Fractions for 1612/829, 3042/3928 is 26/3256312.