GCF of 9460/186, 4559/6458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9460/186, 4559/6458 i.e 1/600594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9460/186, 4559/6458.
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 9460/186,4559/6458?
Given fractions are 9460/186,4559/6458
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 9460/186,4559/6458, numerators are 9460,4559
Denominators are 186,6458
The GCF of 9460,4559 is 1 .
LCM of 186,6458 is 600594.
The greatest common factor of 9460/186,4559/6458 = [GCF of 9460,4559]/[LCM of 186,6458]= 1/600594
Therefore, the GCF of 9460/186,4559/6458 is 1/600594.
To find the highest common factor of 9460,4559, we have to find the factors of both numbers and list the highest common factor.
The factors of 9460 are 1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460
The factors of 4559 are 1, 47, 97, 4559
The HCF of 9460,4559 is 1.
Lets's calculate GCF of 9460,4559
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9460,4559 By Matching Biggest Common Factor Method
Now, list down the factors of 9460
:1,2,4,5,10,11,20,22,43,44,55,86,110,172,215,220,430,473,860,946,1892,2365,4730,9460
Now, list down the factors of 4559
:1,47,97,4559
Greatest Common Factor
We found the factors 9460,4559 . The biggest common factor number is the GCF number.
So the greatest common factor 9460,4559 is 1.
Lets's calculate LCM of 186,6458
| 2 | 186, 6458 |
| 93, 3229 |
∴ So the LCM of the given numbers is 2 x 93 x 3229 = 600594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600594
Therefore, the GCF of Fractions 9460/186,4559/6458 is 1/600594
Least Common Multiple of 186,6458 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 186,6458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,6458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,6458) x common factors =2 x 1 = 2
LCM(186,6458) = ( 186 × 6458 ) / 2
LCM(186,6458) = 1201188 / 2
LCM(186,6458) = 600594
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FAQs on GCF of Fractions of 9460/186, 4559/6458
1. What is the HCF of 9460,4559?
The HCF of 9460,4559 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 9460/186, 4559/6458?
Answer: GCF of Numerators as per given numbers 9460/186, 4559/6458 is
GCF of Numerators i.e. for 9460,4559 is 1
LCM of denominators i.e. for 186,6458 is 600594.
Thus, GCF of Fractions is 1/600594.Finally, GCF of Fractions for 9460/186, 4559/6458 is 1/600594.