GCF of 4882/295, 9764/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4882/295, 9764/455 i.e 4882/26845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4882/295, 9764/455.
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 4882/295,9764/455?
Given fractions are 4882/295,9764/455
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 4882/295,9764/455, numerators are 4882,9764
Denominators are 295,455
The GCF of 4882,9764 is 4882 .
LCM of 295,455 is 26845.
The greatest common factor of 4882/295,9764/455 = [GCF of 4882,9764]/[LCM of 295,455]= 4882/26845
Therefore, the GCF of 4882/295,9764/455 is 4882/26845.
To find the highest common factor of 4882,9764, we have to find the factors of both numbers and list the highest common factor.
The factors of 4882 are 1, 2, 2441, 4882
The factors of 9764 are 1, 2, 4, 2441, 4882, 9764
The HCF of 4882,9764 is 4882.
Lets's calculate GCF of 4882,9764
| 2 | 4882, 9764 |
| 2441 | 2441, 4882 |
| 1, 2 |
∴ So the GCF of the given numbers is 2 x 2441 = 4882
Greatest Common Factor of 4882,9764 By Matching Biggest Common Factor Method
Now, list down the factors of 4882
:1,2,2441,4882
Now, list down the factors of 9764
:1,2,4,2441,4882,9764
Greatest Common Factor
We found the factors 4882,9764 . The biggest common factor number is the GCF number.
So the greatest common factor 4882,9764 is 4882.
Lets's calculate LCM of 295,455
| 5 | 295, 455 |
| 59, 91 |
∴ So the LCM of the given numbers is 5 x 59 x 91 = 26845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4882/26845
Therefore, the GCF of Fractions 4882/295,9764/455 is 4882/26845
Least Common Multiple of 295,455 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 295,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,455) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,455) x common factors =5 x 1 = 5
LCM(295,455) = ( 295 × 455 ) / 5
LCM(295,455) = 134225 / 5
LCM(295,455) = 26845
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FAQs on GCF of Fractions of 4882/295, 9764/455
1. What is the HCF of 4882,9764?
The HCF of 4882,9764 is 4882
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 4882/295, 9764/455?
Answer: GCF of Numerators as per given numbers 4882/295, 9764/455 is
GCF of Numerators i.e. for 4882,9764 is 4882
LCM of denominators i.e. for 295,455 is 26845.
Thus, GCF of Fractions is 4882/26845.Finally, GCF of Fractions for 4882/295, 9764/455 is 4882/26845.