GCF of 3349/473, 3968/856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3349/473, 3968/856 i.e 1/404888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3349/473, 3968/856.
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 3349/473,3968/856?
Given fractions are 3349/473,3968/856
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 3349/473,3968/856, numerators are 3349,3968
Denominators are 473,856
The GCF of 3349,3968 is 1 .
LCM of 473,856 is 404888.
The greatest common factor of 3349/473,3968/856 = [GCF of 3349,3968]/[LCM of 473,856]= 1/404888
Therefore, the GCF of 3349/473,3968/856 is 1/404888.
To find the highest common factor of 3349,3968, we have to find the factors of both numbers and list the highest common factor.
The factors of 3349 are 1, 17, 197, 3349
The factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968
The HCF of 3349,3968 is 1.
Lets's calculate GCF of 3349,3968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3349,3968 By Matching Biggest Common Factor Method
Now, list down the factors of 3349
:1,17,197,3349
Now, list down the factors of 3968
:1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968
Greatest Common Factor
We found the factors 3349,3968 . The biggest common factor number is the GCF number.
So the greatest common factor 3349,3968 is 1.
Lets's calculate LCM of 473,856
Given numbers has no common factors except 1. So, there LCM is their product i.e 404888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404888
Therefore, the GCF of Fractions 3349/473,3968/856 is 1/404888
Least Common Multiple of 473,856 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 473,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,856) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,856) x common factors =1 x 1 = 1
LCM(473,856) = ( 473 × 856 ) / 1
LCM(473,856) = 404888 / 1
LCM(473,856) = 404888
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FAQs on GCF of Fractions of 3349/473, 3968/856
1. What is the HCF of 3349,3968?
The HCF of 3349,3968 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 3349/473, 3968/856?
Answer: GCF of Numerators as per given numbers 3349/473, 3968/856 is
GCF of Numerators i.e. for 3349,3968 is 1
LCM of denominators i.e. for 473,856 is 404888.
Thus, GCF of Fractions is 1/404888.Finally, GCF of Fractions for 3349/473, 3968/856 is 1/404888.