GCF of 7103/363, 7611/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7103/363, 7611/121 i.e 1/363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7103/363, 7611/121.
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 7103/363,7611/121?
Given fractions are 7103/363,7611/121
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 7103/363,7611/121, numerators are 7103,7611
Denominators are 363,121
The GCF of 7103,7611 is 1 .
LCM of 363,121 is 363.
The greatest common factor of 7103/363,7611/121 = [GCF of 7103,7611]/[LCM of 363,121]= 1/363
Therefore, the GCF of 7103/363,7611/121 is 1/363.
To find the highest common factor of 7103,7611, we have to find the factors of both numbers and list the highest common factor.
The factors of 7103 are 1, 7103
The factors of 7611 are 1, 3, 43, 59, 129, 177, 2537, 7611
The HCF of 7103,7611 is 1.
Lets's calculate GCF of 7103,7611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7103,7611 By Matching Biggest Common Factor Method
Now, list down the factors of 7103
:1,7103
Now, list down the factors of 7611
:1,3,43,59,129,177,2537,7611
Greatest Common Factor
We found the factors 7103,7611 . The biggest common factor number is the GCF number.
So the greatest common factor 7103,7611 is 1.
Lets's calculate LCM of 363,121
| 11 | 363, 121 |
| 11 | 33, 11 |
| 3, 1 |
∴ So the LCM of the given numbers is 11 x 11 x 3 x 1 = 363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363
Therefore, the GCF of Fractions 7103/363,7611/121 is 1/363
Least Common Multiple of 363,121 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 363,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,121) = 121
common factors(in case of two or more numbers have common factors) = 1
GCF(363,121) x common factors =121 x 1 = 121
LCM(363,121) = ( 363 × 121 ) / 121
LCM(363,121) = 43923 / 121
LCM(363,121) = 363
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FAQs on GCF of Fractions of 7103/363, 7611/121
1. What is the HCF of 7103,7611?
The HCF of 7103,7611 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 7103/363, 7611/121?
Answer: GCF of Numerators as per given numbers 7103/363, 7611/121 is
GCF of Numerators i.e. for 7103,7611 is 1
LCM of denominators i.e. for 363,121 is 363.
Thus, GCF of Fractions is 1/363.Finally, GCF of Fractions for 7103/363, 7611/121 is 1/363.