GCF of 4929/612, 6054/1617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4929/612, 6054/1617 i.e 3/329868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4929/612, 6054/1617.
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 4929/612,6054/1617?
Given fractions are 4929/612,6054/1617
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 4929/612,6054/1617, numerators are 4929,6054
Denominators are 612,1617
The GCF of 4929,6054 is 3 .
LCM of 612,1617 is 329868.
The greatest common factor of 4929/612,6054/1617 = [GCF of 4929,6054]/[LCM of 612,1617]= 3/329868
Therefore, the GCF of 4929/612,6054/1617 is 3/329868.
To find the highest common factor of 4929,6054, we have to find the factors of both numbers and list the highest common factor.
The factors of 4929 are 1, 3, 31, 53, 93, 159, 1643, 4929
The factors of 6054 are 1, 2, 3, 6, 1009, 2018, 3027, 6054
The HCF of 4929,6054 is 3.
Lets's calculate GCF of 4929,6054
| 3 | 4929, 6054 |
| 1643, 2018 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4929,6054 By Matching Biggest Common Factor Method
Now, list down the factors of 4929
:1,3,31,53,93,159,1643,4929
Now, list down the factors of 6054
:1,2,3,6,1009,2018,3027,6054
Greatest Common Factor
We found the factors 4929,6054 . The biggest common factor number is the GCF number.
So the greatest common factor 4929,6054 is 3.
Lets's calculate LCM of 612,1617
| 3 | 612, 1617 |
| 204, 539 |
∴ So the LCM of the given numbers is 3 x 204 x 539 = 329868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/329868
Therefore, the GCF of Fractions 4929/612,6054/1617 is 3/329868
Least Common Multiple of 612,1617 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 612,1617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,1617) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(612,1617) x common factors =3 x 1 = 3
LCM(612,1617) = ( 612 × 1617 ) / 3
LCM(612,1617) = 989604 / 3
LCM(612,1617) = 329868
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FAQs on GCF of Fractions of 4929/612, 6054/1617
1. What is the HCF of 4929,6054?
The HCF of 4929,6054 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 4929/612, 6054/1617?
Answer: GCF of Numerators as per given numbers 4929/612, 6054/1617 is
GCF of Numerators i.e. for 4929,6054 is 3
LCM of denominators i.e. for 612,1617 is 329868.
Thus, GCF of Fractions is 3/329868.Finally, GCF of Fractions for 4929/612, 6054/1617 is 3/329868.