GCF of 1941/729, 4056/3792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1941/729, 4056/3792 i.e 3/921456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1941/729, 4056/3792.
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 1941/729,4056/3792?
Given fractions are 1941/729,4056/3792
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 1941/729,4056/3792, numerators are 1941,4056
Denominators are 729,3792
The GCF of 1941,4056 is 3 .
LCM of 729,3792 is 921456.
The greatest common factor of 1941/729,4056/3792 = [GCF of 1941,4056]/[LCM of 729,3792]= 3/921456
Therefore, the GCF of 1941/729,4056/3792 is 3/921456.
To find the highest common factor of 1941,4056, we have to find the factors of both numbers and list the highest common factor.
The factors of 1941 are 1, 3, 647, 1941
The factors of 4056 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056
The HCF of 1941,4056 is 3.
Lets's calculate GCF of 1941,4056
| 3 | 1941, 4056 |
| 647, 1352 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1941,4056 By Matching Biggest Common Factor Method
Now, list down the factors of 1941
:1,3,647,1941
Now, list down the factors of 4056
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,169,312,338,507,676,1014,1352,2028,4056
Greatest Common Factor
We found the factors 1941,4056 . The biggest common factor number is the GCF number.
So the greatest common factor 1941,4056 is 3.
Lets's calculate LCM of 729,3792
| 3 | 729, 3792 |
| 243, 1264 |
∴ So the LCM of the given numbers is 3 x 243 x 1264 = 921456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/921456
Therefore, the GCF of Fractions 1941/729,4056/3792 is 3/921456
Least Common Multiple of 729,3792 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 729,3792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,3792) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(729,3792) x common factors =3 x 1 = 3
LCM(729,3792) = ( 729 × 3792 ) / 3
LCM(729,3792) = 2764368 / 3
LCM(729,3792) = 921456
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FAQs on GCF of Fractions of 1941/729, 4056/3792
1. What is the HCF of 1941,4056?
The HCF of 1941,4056 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 1941/729, 4056/3792?
Answer: GCF of Numerators as per given numbers 1941/729, 4056/3792 is
GCF of Numerators i.e. for 1941,4056 is 3
LCM of denominators i.e. for 729,3792 is 921456.
Thus, GCF of Fractions is 3/921456.Finally, GCF of Fractions for 1941/729, 4056/3792 is 3/921456.