GCF of 3043/852, 7089/1405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3043/852, 7089/1405 i.e 17/1197060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3043/852, 7089/1405.
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 3043/852,7089/1405?
Given fractions are 3043/852,7089/1405
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 3043/852,7089/1405, numerators are 3043,7089
Denominators are 852,1405
The GCF of 3043,7089 is 17 .
LCM of 852,1405 is 1197060.
The greatest common factor of 3043/852,7089/1405 = [GCF of 3043,7089]/[LCM of 852,1405]= 17/1197060
Therefore, the GCF of 3043/852,7089/1405 is 17/1197060.
To find the highest common factor of 3043,7089, we have to find the factors of both numbers and list the highest common factor.
The factors of 3043 are 1, 17, 179, 3043
The factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089
The HCF of 3043,7089 is 17.
Lets's calculate GCF of 3043,7089
| 17 | 3043, 7089 |
| 179, 417 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 3043,7089 By Matching Biggest Common Factor Method
Now, list down the factors of 3043
:1,17,179,3043
Now, list down the factors of 7089
:1,3,17,51,139,417,2363,7089
Greatest Common Factor
We found the factors 3043,7089 . The biggest common factor number is the GCF number.
So the greatest common factor 3043,7089 is 17.
Lets's calculate LCM of 852,1405
Given numbers has no common factors except 1. So, there LCM is their product i.e 1197060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1197060
Therefore, the GCF of Fractions 3043/852,7089/1405 is 17/1197060
Least Common Multiple of 852,1405 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 852,1405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,1405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(852,1405) x common factors =1 x 1 = 1
LCM(852,1405) = ( 852 × 1405 ) / 1
LCM(852,1405) = 1197060 / 1
LCM(852,1405) = 1197060
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FAQs on GCF of Fractions of 3043/852, 7089/1405
1. What is the HCF of 3043,7089?
The HCF of 3043,7089 is 17
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 3043/852, 7089/1405?
Answer: GCF of Numerators as per given numbers 3043/852, 7089/1405 is
GCF of Numerators i.e. for 3043,7089 is 17
LCM of denominators i.e. for 852,1405 is 1197060.
Thus, GCF of Fractions is 17/1197060.Finally, GCF of Fractions for 3043/852, 7089/1405 is 17/1197060.