GCF of 4103/965, 2541/3182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4103/965, 2541/3182 i.e 11/3070630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4103/965, 2541/3182.
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 4103/965,2541/3182?
Given fractions are 4103/965,2541/3182
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 4103/965,2541/3182, numerators are 4103,2541
Denominators are 965,3182
The GCF of 4103,2541 is 11 .
LCM of 965,3182 is 3070630.
The greatest common factor of 4103/965,2541/3182 = [GCF of 4103,2541]/[LCM of 965,3182]= 11/3070630
Therefore, the GCF of 4103/965,2541/3182 is 11/3070630.
To find the highest common factor of 4103,2541, we have to find the factors of both numbers and list the highest common factor.
The factors of 4103 are 1, 11, 373, 4103
The factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541
The HCF of 4103,2541 is 11.
Lets's calculate GCF of 4103,2541
| 11 | 4103, 2541 |
| 373, 231 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4103,2541 By Matching Biggest Common Factor Method
Now, list down the factors of 4103
:1,11,373,4103
Now, list down the factors of 2541
:1,3,7,11,21,33,77,121,231,363,847,2541
Greatest Common Factor
We found the factors 4103,2541 . The biggest common factor number is the GCF number.
So the greatest common factor 4103,2541 is 11.
Lets's calculate LCM of 965,3182
Given numbers has no common factors except 1. So, there LCM is their product i.e 3070630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3070630
Therefore, the GCF of Fractions 4103/965,2541/3182 is 11/3070630
Least Common Multiple of 965,3182 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 965,3182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,3182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,3182) x common factors =1 x 1 = 1
LCM(965,3182) = ( 965 × 3182 ) / 1
LCM(965,3182) = 3070630 / 1
LCM(965,3182) = 3070630
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FAQs on GCF of Fractions of 4103/965, 2541/3182
1. What is the HCF of 4103,2541?
The HCF of 4103,2541 is 11
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 4103/965, 2541/3182?
Answer: GCF of Numerators as per given numbers 4103/965, 2541/3182 is
GCF of Numerators i.e. for 4103,2541 is 11
LCM of denominators i.e. for 965,3182 is 3070630.
Thus, GCF of Fractions is 11/3070630.Finally, GCF of Fractions for 4103/965, 2541/3182 is 11/3070630.