GCF of 6103/370, 8119/7286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6103/370, 8119/7286 i.e 1/1347910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6103/370, 8119/7286.
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 6103/370,8119/7286?
Given fractions are 6103/370,8119/7286
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 6103/370,8119/7286, numerators are 6103,8119
Denominators are 370,7286
The GCF of 6103,8119 is 1 .
LCM of 370,7286 is 1347910.
The greatest common factor of 6103/370,8119/7286 = [GCF of 6103,8119]/[LCM of 370,7286]= 1/1347910
Therefore, the GCF of 6103/370,8119/7286 is 1/1347910.
To find the highest common factor of 6103,8119, we have to find the factors of both numbers and list the highest common factor.
The factors of 6103 are 1, 17, 359, 6103
The factors of 8119 are 1, 23, 353, 8119
The HCF of 6103,8119 is 1.
Lets's calculate GCF of 6103,8119
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6103,8119 By Matching Biggest Common Factor Method
Now, list down the factors of 6103
:1,17,359,6103
Now, list down the factors of 8119
:1,23,353,8119
Greatest Common Factor
We found the factors 6103,8119 . The biggest common factor number is the GCF number.
So the greatest common factor 6103,8119 is 1.
Lets's calculate LCM of 370,7286
| 2 | 370, 7286 |
| 185, 3643 |
∴ So the LCM of the given numbers is 2 x 185 x 3643 = 1347910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1347910
Therefore, the GCF of Fractions 6103/370,8119/7286 is 1/1347910
Least Common Multiple of 370,7286 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 370,7286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,7286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,7286) x common factors =2 x 1 = 2
LCM(370,7286) = ( 370 × 7286 ) / 2
LCM(370,7286) = 2695820 / 2
LCM(370,7286) = 1347910
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FAQs on GCF of Fractions of 6103/370, 8119/7286
1. What is the HCF of 6103,8119?
The HCF of 6103,8119 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 6103/370, 8119/7286?
Answer: GCF of Numerators as per given numbers 6103/370, 8119/7286 is
GCF of Numerators i.e. for 6103,8119 is 1
LCM of denominators i.e. for 370,7286 is 1347910.
Thus, GCF of Fractions is 1/1347910.Finally, GCF of Fractions for 6103/370, 8119/7286 is 1/1347910.