GCF of 3839/146, 5325/6698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3839/146, 5325/6698 i.e 1/488954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3839/146, 5325/6698.
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 3839/146,5325/6698?
Given fractions are 3839/146,5325/6698
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 3839/146,5325/6698, numerators are 3839,5325
Denominators are 146,6698
The GCF of 3839,5325 is 1 .
LCM of 146,6698 is 488954.
The greatest common factor of 3839/146,5325/6698 = [GCF of 3839,5325]/[LCM of 146,6698]= 1/488954
Therefore, the GCF of 3839/146,5325/6698 is 1/488954.
To find the highest common factor of 3839,5325, we have to find the factors of both numbers and list the highest common factor.
The factors of 3839 are 1, 11, 349, 3839
The factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325
The HCF of 3839,5325 is 1.
Lets's calculate GCF of 3839,5325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3839,5325 By Matching Biggest Common Factor Method
Now, list down the factors of 3839
:1,11,349,3839
Now, list down the factors of 5325
:1,3,5,15,25,71,75,213,355,1065,1775,5325
Greatest Common Factor
We found the factors 3839,5325 . The biggest common factor number is the GCF number.
So the greatest common factor 3839,5325 is 1.
Lets's calculate LCM of 146,6698
| 2 | 146, 6698 |
| 73, 3349 |
∴ So the LCM of the given numbers is 2 x 73 x 3349 = 488954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488954
Therefore, the GCF of Fractions 3839/146,5325/6698 is 1/488954
Least Common Multiple of 146,6698 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 146,6698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,6698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,6698) x common factors =2 x 1 = 2
LCM(146,6698) = ( 146 × 6698 ) / 2
LCM(146,6698) = 977908 / 2
LCM(146,6698) = 488954
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FAQs on GCF of Fractions of 3839/146, 5325/6698
1. What is the HCF of 3839,5325?
The HCF of 3839,5325 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 3839/146, 5325/6698?
Answer: GCF of Numerators as per given numbers 3839/146, 5325/6698 is
GCF of Numerators i.e. for 3839,5325 is 1
LCM of denominators i.e. for 146,6698 is 488954.
Thus, GCF of Fractions is 1/488954.Finally, GCF of Fractions for 3839/146, 5325/6698 is 1/488954.