GCF of 1643/891, 4093/1944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1643/891, 4093/1944 i.e 1/21384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1643/891, 4093/1944.
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 1643/891,4093/1944?
Given fractions are 1643/891,4093/1944
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 1643/891,4093/1944, numerators are 1643,4093
Denominators are 891,1944
The GCF of 1643,4093 is 1 .
LCM of 891,1944 is 21384.
The greatest common factor of 1643/891,4093/1944 = [GCF of 1643,4093]/[LCM of 891,1944]= 1/21384
Therefore, the GCF of 1643/891,4093/1944 is 1/21384.
To find the highest common factor of 1643,4093, we have to find the factors of both numbers and list the highest common factor.
The factors of 1643 are 1, 31, 53, 1643
The factors of 4093 are 1, 4093
The HCF of 1643,4093 is 1.
Lets's calculate GCF of 1643,4093
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1643,4093 By Matching Biggest Common Factor Method
Now, list down the factors of 1643
:1,31,53,1643
Now, list down the factors of 4093
:1,4093
Greatest Common Factor
We found the factors 1643,4093 . The biggest common factor number is the GCF number.
So the greatest common factor 1643,4093 is 1.
Lets's calculate LCM of 891,1944
| 3 | 891, 1944 |
| 3 | 297, 648 |
| 3 | 99, 216 |
| 3 | 33, 72 |
| 11, 24 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 11 x 24 = 21384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21384
Therefore, the GCF of Fractions 1643/891,4093/1944 is 1/21384
Least Common Multiple of 891,1944 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 891,1944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,1944) = 81
common factors(in case of two or more numbers have common factors) = 1
GCF(891,1944) x common factors =81 x 1 = 81
LCM(891,1944) = ( 891 × 1944 ) / 81
LCM(891,1944) = 1732104 / 81
LCM(891,1944) = 21384
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FAQs on GCF of Fractions of 1643/891, 4093/1944
1. What is the HCF of 1643,4093?
The HCF of 1643,4093 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 1643/891, 4093/1944?
Answer: GCF of Numerators as per given numbers 1643/891, 4093/1944 is
GCF of Numerators i.e. for 1643,4093 is 1
LCM of denominators i.e. for 891,1944 is 21384.
Thus, GCF of Fractions is 1/21384.Finally, GCF of Fractions for 1643/891, 4093/1944 is 1/21384.