GCF of 3898/908, 5061/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3898/908, 5061/960 i.e 1/217920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3898/908, 5061/960.
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 3898/908,5061/960?
Given fractions are 3898/908,5061/960
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 3898/908,5061/960, numerators are 3898,5061
Denominators are 908,960
The GCF of 3898,5061 is 1 .
LCM of 908,960 is 217920.
The greatest common factor of 3898/908,5061/960 = [GCF of 3898,5061]/[LCM of 908,960]= 1/217920
Therefore, the GCF of 3898/908,5061/960 is 1/217920.
To find the highest common factor of 3898,5061, we have to find the factors of both numbers and list the highest common factor.
The factors of 3898 are 1, 2, 1949, 3898
The factors of 5061 are 1, 3, 7, 21, 241, 723, 1687, 5061
The HCF of 3898,5061 is 1.
Lets's calculate GCF of 3898,5061
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3898,5061 By Matching Biggest Common Factor Method
Now, list down the factors of 3898
:1,2,1949,3898
Now, list down the factors of 5061
:1,3,7,21,241,723,1687,5061
Greatest Common Factor
We found the factors 3898,5061 . The biggest common factor number is the GCF number.
So the greatest common factor 3898,5061 is 1.
Lets's calculate LCM of 908,960
| 2 | 908, 960 |
| 2 | 454, 480 |
| 227, 240 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 240 = 217920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217920
Therefore, the GCF of Fractions 3898/908,5061/960 is 1/217920
Least Common Multiple of 908,960 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 908,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,960) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(908,960) x common factors =4 x 1 = 4
LCM(908,960) = ( 908 × 960 ) / 4
LCM(908,960) = 871680 / 4
LCM(908,960) = 217920
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FAQs on GCF of Fractions of 3898/908, 5061/960
1. What is the HCF of 3898,5061?
The HCF of 3898,5061 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 3898/908, 5061/960?
Answer: GCF of Numerators as per given numbers 3898/908, 5061/960 is
GCF of Numerators i.e. for 3898,5061 is 1
LCM of denominators i.e. for 908,960 is 217920.
Thus, GCF of Fractions is 1/217920.Finally, GCF of Fractions for 3898/908, 5061/960 is 1/217920.