GCF of 4855/422, 5858/9894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4855/422, 5858/9894 i.e 1/2087634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4855/422, 5858/9894.
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 4855/422,5858/9894?
Given fractions are 4855/422,5858/9894
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 4855/422,5858/9894, numerators are 4855,5858
Denominators are 422,9894
The GCF of 4855,5858 is 1 .
LCM of 422,9894 is 2087634.
The greatest common factor of 4855/422,5858/9894 = [GCF of 4855,5858]/[LCM of 422,9894]= 1/2087634
Therefore, the GCF of 4855/422,5858/9894 is 1/2087634.
To find the highest common factor of 4855,5858, we have to find the factors of both numbers and list the highest common factor.
The factors of 4855 are 1, 5, 971, 4855
The factors of 5858 are 1, 2, 29, 58, 101, 202, 2929, 5858
The HCF of 4855,5858 is 1.
Lets's calculate GCF of 4855,5858
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4855,5858 By Matching Biggest Common Factor Method
Now, list down the factors of 4855
:1,5,971,4855
Now, list down the factors of 5858
:1,2,29,58,101,202,2929,5858
Greatest Common Factor
We found the factors 4855,5858 . The biggest common factor number is the GCF number.
So the greatest common factor 4855,5858 is 1.
Lets's calculate LCM of 422,9894
| 2 | 422, 9894 |
| 211, 4947 |
∴ So the LCM of the given numbers is 2 x 211 x 4947 = 2087634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2087634
Therefore, the GCF of Fractions 4855/422,5858/9894 is 1/2087634
Least Common Multiple of 422,9894 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 422,9894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,9894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,9894) x common factors =2 x 1 = 2
LCM(422,9894) = ( 422 × 9894 ) / 2
LCM(422,9894) = 4175268 / 2
LCM(422,9894) = 2087634
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FAQs on GCF of Fractions of 4855/422, 5858/9894
1. What is the HCF of 4855,5858?
The HCF of 4855,5858 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 4855/422, 5858/9894?
Answer: GCF of Numerators as per given numbers 4855/422, 5858/9894 is
GCF of Numerators i.e. for 4855,5858 is 1
LCM of denominators i.e. for 422,9894 is 2087634.
Thus, GCF of Fractions is 1/2087634.Finally, GCF of Fractions for 4855/422, 5858/9894 is 1/2087634.