GCF of 8854/386, 3331/9938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8854/386, 3331/9938 i.e 1/1918034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8854/386, 3331/9938.
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 8854/386,3331/9938?
Given fractions are 8854/386,3331/9938
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 8854/386,3331/9938, numerators are 8854,3331
Denominators are 386,9938
The GCF of 8854,3331 is 1 .
LCM of 386,9938 is 1918034.
The greatest common factor of 8854/386,3331/9938 = [GCF of 8854,3331]/[LCM of 386,9938]= 1/1918034
Therefore, the GCF of 8854/386,3331/9938 is 1/1918034.
To find the highest common factor of 8854,3331, we have to find the factors of both numbers and list the highest common factor.
The factors of 8854 are 1, 2, 19, 38, 233, 466, 4427, 8854
The factors of 3331 are 1, 3331
The HCF of 8854,3331 is 1.
Lets's calculate GCF of 8854,3331
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8854,3331 By Matching Biggest Common Factor Method
Now, list down the factors of 8854
:1,2,19,38,233,466,4427,8854
Now, list down the factors of 3331
:1,3331
Greatest Common Factor
We found the factors 8854,3331 . The biggest common factor number is the GCF number.
So the greatest common factor 8854,3331 is 1.
Lets's calculate LCM of 386,9938
| 2 | 386, 9938 |
| 193, 4969 |
∴ So the LCM of the given numbers is 2 x 193 x 4969 = 1918034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1918034
Therefore, the GCF of Fractions 8854/386,3331/9938 is 1/1918034
Least Common Multiple of 386,9938 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 386,9938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,9938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,9938) x common factors =2 x 1 = 2
LCM(386,9938) = ( 386 × 9938 ) / 2
LCM(386,9938) = 3836068 / 2
LCM(386,9938) = 1918034
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FAQs on GCF of Fractions of 8854/386, 3331/9938
1. What is the HCF of 8854,3331?
The HCF of 8854,3331 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 8854/386, 3331/9938?
Answer: GCF of Numerators as per given numbers 8854/386, 3331/9938 is
GCF of Numerators i.e. for 8854,3331 is 1
LCM of denominators i.e. for 386,9938 is 1918034.
Thus, GCF of Fractions is 1/1918034.Finally, GCF of Fractions for 8854/386, 3331/9938 is 1/1918034.