GCF of 9068/474, 7341/4178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9068/474, 7341/4178 i.e 1/990186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9068/474, 7341/4178.
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 9068/474,7341/4178?
Given fractions are 9068/474,7341/4178
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 9068/474,7341/4178, numerators are 9068,7341
Denominators are 474,4178
The GCF of 9068,7341 is 1 .
LCM of 474,4178 is 990186.
The greatest common factor of 9068/474,7341/4178 = [GCF of 9068,7341]/[LCM of 474,4178]= 1/990186
Therefore, the GCF of 9068/474,7341/4178 is 1/990186.
To find the highest common factor of 9068,7341, we have to find the factors of both numbers and list the highest common factor.
The factors of 9068 are 1, 2, 4, 2267, 4534, 9068
The factors of 7341 are 1, 3, 2447, 7341
The HCF of 9068,7341 is 1.
Lets's calculate GCF of 9068,7341
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9068,7341 By Matching Biggest Common Factor Method
Now, list down the factors of 9068
:1,2,4,2267,4534,9068
Now, list down the factors of 7341
:1,3,2447,7341
Greatest Common Factor
We found the factors 9068,7341 . The biggest common factor number is the GCF number.
So the greatest common factor 9068,7341 is 1.
Lets's calculate LCM of 474,4178
| 2 | 474, 4178 |
| 237, 2089 |
∴ So the LCM of the given numbers is 2 x 237 x 2089 = 990186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990186
Therefore, the GCF of Fractions 9068/474,7341/4178 is 1/990186
Least Common Multiple of 474,4178 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 474,4178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,4178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,4178) x common factors =2 x 1 = 2
LCM(474,4178) = ( 474 × 4178 ) / 2
LCM(474,4178) = 1980372 / 2
LCM(474,4178) = 990186
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FAQs on GCF of Fractions of 9068/474, 7341/4178
1. What is the HCF of 9068,7341?
The HCF of 9068,7341 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 9068/474, 7341/4178?
Answer: GCF of Numerators as per given numbers 9068/474, 7341/4178 is
GCF of Numerators i.e. for 9068,7341 is 1
LCM of denominators i.e. for 474,4178 is 990186.
Thus, GCF of Fractions is 1/990186.Finally, GCF of Fractions for 9068/474, 7341/4178 is 1/990186.