GCF of 8334/256, 1891/3698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8334/256, 1891/3698 i.e 1/473344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8334/256, 1891/3698.
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 8334/256,1891/3698?
Given fractions are 8334/256,1891/3698
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 8334/256,1891/3698, numerators are 8334,1891
Denominators are 256,3698
The GCF of 8334,1891 is 1 .
LCM of 256,3698 is 473344.
The greatest common factor of 8334/256,1891/3698 = [GCF of 8334,1891]/[LCM of 256,3698]= 1/473344
Therefore, the GCF of 8334/256,1891/3698 is 1/473344.
To find the highest common factor of 8334,1891, we have to find the factors of both numbers and list the highest common factor.
The factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334
The factors of 1891 are 1, 31, 61, 1891
The HCF of 8334,1891 is 1.
Lets's calculate GCF of 8334,1891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8334,1891 By Matching Biggest Common Factor Method
Now, list down the factors of 8334
:1,2,3,6,9,18,463,926,1389,2778,4167,8334
Now, list down the factors of 1891
:1,31,61,1891
Greatest Common Factor
We found the factors 8334,1891 . The biggest common factor number is the GCF number.
So the greatest common factor 8334,1891 is 1.
Lets's calculate LCM of 256,3698
| 2 | 256, 3698 |
| 128, 1849 |
∴ So the LCM of the given numbers is 2 x 128 x 1849 = 473344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473344
Therefore, the GCF of Fractions 8334/256,1891/3698 is 1/473344
Least Common Multiple of 256,3698 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 256,3698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,3698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,3698) x common factors =2 x 1 = 2
LCM(256,3698) = ( 256 × 3698 ) / 2
LCM(256,3698) = 946688 / 2
LCM(256,3698) = 473344
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FAQs on GCF of Fractions of 8334/256, 1891/3698
1. What is the HCF of 8334,1891?
The HCF of 8334,1891 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 8334/256, 1891/3698?
Answer: GCF of Numerators as per given numbers 8334/256, 1891/3698 is
GCF of Numerators i.e. for 8334,1891 is 1
LCM of denominators i.e. for 256,3698 is 473344.
Thus, GCF of Fractions is 1/473344.Finally, GCF of Fractions for 8334/256, 1891/3698 is 1/473344.