GCF of 9058/174, 5178/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9058/174, 5178/474 i.e 2/13746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9058/174, 5178/474.
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 9058/174,5178/474?
Given fractions are 9058/174,5178/474
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 9058/174,5178/474, numerators are 9058,5178
Denominators are 174,474
The GCF of 9058,5178 is 2 .
LCM of 174,474 is 13746.
The greatest common factor of 9058/174,5178/474 = [GCF of 9058,5178]/[LCM of 174,474]= 2/13746
Therefore, the GCF of 9058/174,5178/474 is 2/13746.
To find the highest common factor of 9058,5178, we have to find the factors of both numbers and list the highest common factor.
The factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058
The factors of 5178 are 1, 2, 3, 6, 863, 1726, 2589, 5178
The HCF of 9058,5178 is 2.
Lets's calculate GCF of 9058,5178
| 2 | 9058, 5178 |
| 4529, 2589 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9058,5178 By Matching Biggest Common Factor Method
Now, list down the factors of 9058
:1,2,7,14,647,1294,4529,9058
Now, list down the factors of 5178
:1,2,3,6,863,1726,2589,5178
Greatest Common Factor
We found the factors 9058,5178 . The biggest common factor number is the GCF number.
So the greatest common factor 9058,5178 is 2.
Lets's calculate LCM of 174,474
| 2 | 174, 474 |
| 3 | 87, 237 |
| 29, 79 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 79 = 13746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13746
Therefore, the GCF of Fractions 9058/174,5178/474 is 2/13746
Least Common Multiple of 174,474 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 174,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,474) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(174,474) x common factors =6 x 1 = 6
LCM(174,474) = ( 174 × 474 ) / 6
LCM(174,474) = 82476 / 6
LCM(174,474) = 13746
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FAQs on GCF of Fractions of 9058/174, 5178/474
1. What is the HCF of 9058,5178?
The HCF of 9058,5178 is 2
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 9058/174, 5178/474?
Answer: GCF of Numerators as per given numbers 9058/174, 5178/474 is
GCF of Numerators i.e. for 9058,5178 is 2
LCM of denominators i.e. for 174,474 is 13746.
Thus, GCF of Fractions is 2/13746.Finally, GCF of Fractions for 9058/174, 5178/474 is 2/13746.