GCF of 9419/474, 5161/6890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9419/474, 5161/6890 i.e 1/1632930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9419/474, 5161/6890.
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 9419/474,5161/6890?
Given fractions are 9419/474,5161/6890
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 9419/474,5161/6890, numerators are 9419,5161
Denominators are 474,6890
The GCF of 9419,5161 is 1 .
LCM of 474,6890 is 1632930.
The greatest common factor of 9419/474,5161/6890 = [GCF of 9419,5161]/[LCM of 474,6890]= 1/1632930
Therefore, the GCF of 9419/474,5161/6890 is 1/1632930.
To find the highest common factor of 9419,5161, we have to find the factors of both numbers and list the highest common factor.
The factors of 9419 are 1, 9419
The factors of 5161 are 1, 13, 397, 5161
The HCF of 9419,5161 is 1.
Lets's calculate GCF of 9419,5161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9419,5161 By Matching Biggest Common Factor Method
Now, list down the factors of 9419
:1,9419
Now, list down the factors of 5161
:1,13,397,5161
Greatest Common Factor
We found the factors 9419,5161 . The biggest common factor number is the GCF number.
So the greatest common factor 9419,5161 is 1.
Lets's calculate LCM of 474,6890
| 2 | 474, 6890 |
| 237, 3445 |
∴ So the LCM of the given numbers is 2 x 237 x 3445 = 1632930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1632930
Therefore, the GCF of Fractions 9419/474,5161/6890 is 1/1632930
Least Common Multiple of 474,6890 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 474,6890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,6890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,6890) x common factors =2 x 1 = 2
LCM(474,6890) = ( 474 × 6890 ) / 2
LCM(474,6890) = 3265860 / 2
LCM(474,6890) = 1632930
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FAQs on GCF of Fractions of 9419/474, 5161/6890
1. What is the HCF of 9419,5161?
The HCF of 9419,5161 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 9419/474, 5161/6890?
Answer: GCF of Numerators as per given numbers 9419/474, 5161/6890 is
GCF of Numerators i.e. for 9419,5161 is 1
LCM of denominators i.e. for 474,6890 is 1632930.
Thus, GCF of Fractions is 1/1632930.Finally, GCF of Fractions for 9419/474, 5161/6890 is 1/1632930.