GCF of 1474/323, 6061/7118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1474/323, 6061/7118 i.e 11/2299114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1474/323, 6061/7118.
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 1474/323,6061/7118?
Given fractions are 1474/323,6061/7118
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 1474/323,6061/7118, numerators are 1474,6061
Denominators are 323,7118
The GCF of 1474,6061 is 11 .
LCM of 323,7118 is 2299114.
The greatest common factor of 1474/323,6061/7118 = [GCF of 1474,6061]/[LCM of 323,7118]= 11/2299114
Therefore, the GCF of 1474/323,6061/7118 is 11/2299114.
To find the highest common factor of 1474,6061, we have to find the factors of both numbers and list the highest common factor.
The factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474
The factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061
The HCF of 1474,6061 is 11.
Lets's calculate GCF of 1474,6061
| 11 | 1474, 6061 |
| 134, 551 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1474,6061 By Matching Biggest Common Factor Method
Now, list down the factors of 1474
:1,2,11,22,67,134,737,1474
Now, list down the factors of 6061
:1,11,19,29,209,319,551,6061
Greatest Common Factor
We found the factors 1474,6061 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,6061 is 11.
Lets's calculate LCM of 323,7118
Given numbers has no common factors except 1. So, there LCM is their product i.e 2299114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2299114
Therefore, the GCF of Fractions 1474/323,6061/7118 is 11/2299114
Least Common Multiple of 323,7118 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 323,7118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,7118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,7118) x common factors =1 x 1 = 1
LCM(323,7118) = ( 323 × 7118 ) / 1
LCM(323,7118) = 2299114 / 1
LCM(323,7118) = 2299114
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1474/323, 6061/7118
1. What is the HCF of 1474,6061?
The HCF of 1474,6061 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 1474/323, 6061/7118?
Answer: GCF of Numerators as per given numbers 1474/323, 6061/7118 is
GCF of Numerators i.e. for 1474,6061 is 11
LCM of denominators i.e. for 323,7118 is 2299114.
Thus, GCF of Fractions is 11/2299114.Finally, GCF of Fractions for 1474/323, 6061/7118 is 11/2299114.