GCF of 4919/455, 4566/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4919/455, 4566/410 i.e 1/37310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4919/455, 4566/410.
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 4919/455,4566/410?
Given fractions are 4919/455,4566/410
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 4919/455,4566/410, numerators are 4919,4566
Denominators are 455,410
The GCF of 4919,4566 is 1 .
LCM of 455,410 is 37310.
The greatest common factor of 4919/455,4566/410 = [GCF of 4919,4566]/[LCM of 455,410]= 1/37310
Therefore, the GCF of 4919/455,4566/410 is 1/37310.
To find the highest common factor of 4919,4566, we have to find the factors of both numbers and list the highest common factor.
The factors of 4919 are 1, 4919
The factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566
The HCF of 4919,4566 is 1.
Lets's calculate GCF of 4919,4566
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4919,4566 By Matching Biggest Common Factor Method
Now, list down the factors of 4919
:1,4919
Now, list down the factors of 4566
:1,2,3,6,761,1522,2283,4566
Greatest Common Factor
We found the factors 4919,4566 . The biggest common factor number is the GCF number.
So the greatest common factor 4919,4566 is 1.
Lets's calculate LCM of 455,410
| 5 | 455, 410 |
| 91, 82 |
∴ So the LCM of the given numbers is 5 x 91 x 82 = 37310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37310
Therefore, the GCF of Fractions 4919/455,4566/410 is 1/37310
Least Common Multiple of 455,410 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 455,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,410) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(455,410) x common factors =5 x 1 = 5
LCM(455,410) = ( 455 × 410 ) / 5
LCM(455,410) = 186550 / 5
LCM(455,410) = 37310
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FAQs on GCF of Fractions of 4919/455, 4566/410
1. What is the HCF of 4919,4566?
The HCF of 4919,4566 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 4919/455, 4566/410?
Answer: GCF of Numerators as per given numbers 4919/455, 4566/410 is
GCF of Numerators i.e. for 4919,4566 is 1
LCM of denominators i.e. for 455,410 is 37310.
Thus, GCF of Fractions is 1/37310.Finally, GCF of Fractions for 4919/455, 4566/410 is 1/37310.