GCF of 4885/458, 2021/9618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4885/458, 2021/9618 i.e 1/9618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4885/458, 2021/9618.
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 4885/458,2021/9618?
Given fractions are 4885/458,2021/9618
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 4885/458,2021/9618, numerators are 4885,2021
Denominators are 458,9618
The GCF of 4885,2021 is 1 .
LCM of 458,9618 is 9618.
The greatest common factor of 4885/458,2021/9618 = [GCF of 4885,2021]/[LCM of 458,9618]= 1/9618
Therefore, the GCF of 4885/458,2021/9618 is 1/9618.
To find the highest common factor of 4885,2021, we have to find the factors of both numbers and list the highest common factor.
The factors of 4885 are 1, 5, 977, 4885
The factors of 2021 are 1, 43, 47, 2021
The HCF of 4885,2021 is 1.
Lets's calculate GCF of 4885,2021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4885,2021 By Matching Biggest Common Factor Method
Now, list down the factors of 4885
:1,5,977,4885
Now, list down the factors of 2021
:1,43,47,2021
Greatest Common Factor
We found the factors 4885,2021 . The biggest common factor number is the GCF number.
So the greatest common factor 4885,2021 is 1.
Lets's calculate LCM of 458,9618
| 2 | 458, 9618 |
| 229 | 229, 4809 |
| 1, 21 |
∴ So the LCM of the given numbers is 2 x 229 x 1 x 21 = 9618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9618
Therefore, the GCF of Fractions 4885/458,2021/9618 is 1/9618
Least Common Multiple of 458,9618 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 458,9618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,9618) = 458
common factors(in case of two or more numbers have common factors) = 1
GCF(458,9618) x common factors =458 x 1 = 458
LCM(458,9618) = ( 458 × 9618 ) / 458
LCM(458,9618) = 4405044 / 458
LCM(458,9618) = 9618
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FAQs on GCF of Fractions of 4885/458, 2021/9618
1. What is the HCF of 4885,2021?
The HCF of 4885,2021 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 4885/458, 2021/9618?
Answer: GCF of Numerators as per given numbers 4885/458, 2021/9618 is
GCF of Numerators i.e. for 4885,2021 is 1
LCM of denominators i.e. for 458,9618 is 9618.
Thus, GCF of Fractions is 1/9618.Finally, GCF of Fractions for 4885/458, 2021/9618 is 1/9618.