GCF of 3874/290, 8309/3325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3874/290, 8309/3325 i.e 1/192850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3874/290, 8309/3325.
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 3874/290,8309/3325?
Given fractions are 3874/290,8309/3325
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 3874/290,8309/3325, numerators are 3874,8309
Denominators are 290,3325
The GCF of 3874,8309 is 1 .
LCM of 290,3325 is 192850.
The greatest common factor of 3874/290,8309/3325 = [GCF of 3874,8309]/[LCM of 290,3325]= 1/192850
Therefore, the GCF of 3874/290,8309/3325 is 1/192850.
To find the highest common factor of 3874,8309, we have to find the factors of both numbers and list the highest common factor.
The factors of 3874 are 1, 2, 13, 26, 149, 298, 1937, 3874
The factors of 8309 are 1, 7, 1187, 8309
The HCF of 3874,8309 is 1.
Lets's calculate GCF of 3874,8309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3874,8309 By Matching Biggest Common Factor Method
Now, list down the factors of 3874
:1,2,13,26,149,298,1937,3874
Now, list down the factors of 8309
:1,7,1187,8309
Greatest Common Factor
We found the factors 3874,8309 . The biggest common factor number is the GCF number.
So the greatest common factor 3874,8309 is 1.
Lets's calculate LCM of 290,3325
| 5 | 290, 3325 |
| 58, 665 |
∴ So the LCM of the given numbers is 5 x 58 x 665 = 192850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192850
Therefore, the GCF of Fractions 3874/290,8309/3325 is 1/192850
Least Common Multiple of 290,3325 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 290,3325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,3325) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(290,3325) x common factors =5 x 1 = 5
LCM(290,3325) = ( 290 × 3325 ) / 5
LCM(290,3325) = 964250 / 5
LCM(290,3325) = 192850
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FAQs on GCF of Fractions of 3874/290, 8309/3325
1. What is the HCF of 3874,8309?
The HCF of 3874,8309 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 3874/290, 8309/3325?
Answer: GCF of Numerators as per given numbers 3874/290, 8309/3325 is
GCF of Numerators i.e. for 3874,8309 is 1
LCM of denominators i.e. for 290,3325 is 192850.
Thus, GCF of Fractions is 1/192850.Finally, GCF of Fractions for 3874/290, 8309/3325 is 1/192850.