GCF of 348/407, 8103/7169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/407, 8103/7169 i.e 3/2917783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/407, 8103/7169.
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 348/407,8103/7169?
Given fractions are 348/407,8103/7169
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 348/407,8103/7169, numerators are 348,8103
Denominators are 407,7169
The GCF of 348,8103 is 3 .
LCM of 407,7169 is 2917783.
The greatest common factor of 348/407,8103/7169 = [GCF of 348,8103]/[LCM of 407,7169]= 3/2917783
Therefore, the GCF of 348/407,8103/7169 is 3/2917783.
To find the highest common factor of 348,8103, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 8103 are 1, 3, 37, 73, 111, 219, 2701, 8103
The HCF of 348,8103 is 3.
Lets's calculate GCF of 348,8103
| 3 | 348, 8103 |
| 116, 2701 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 348,8103 By Matching Biggest Common Factor Method
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 8103
:1,3,37,73,111,219,2701,8103
Greatest Common Factor
We found the factors 348,8103 . The biggest common factor number is the GCF number.
So the greatest common factor 348,8103 is 3.
Lets's calculate LCM of 407,7169
Given numbers has no common factors except 1. So, there LCM is their product i.e 2917783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2917783
Therefore, the GCF of Fractions 348/407,8103/7169 is 3/2917783
Least Common Multiple of 407,7169 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 407,7169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,7169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,7169) x common factors =1 x 1 = 1
LCM(407,7169) = ( 407 × 7169 ) / 1
LCM(407,7169) = 2917783 / 1
LCM(407,7169) = 2917783
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FAQs on GCF of Fractions of 348/407, 8103/7169
1. What is the HCF of 348,8103?
The HCF of 348,8103 is 3
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 348/407, 8103/7169?
Answer: GCF of Numerators as per given numbers 348/407, 8103/7169 is
GCF of Numerators i.e. for 348,8103 is 3
LCM of denominators i.e. for 407,7169 is 2917783.
Thus, GCF of Fractions is 3/2917783.Finally, GCF of Fractions for 348/407, 8103/7169 is 3/2917783.