GCF of 848/12, 992/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 848/12, 992/319 i.e 16/3828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 848/12, 992/319.
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 848/12,992/319?
Given fractions are 848/12,992/319
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 848/12,992/319, numerators are 848,992
Denominators are 12,319
The GCF of 848,992 is 16 .
LCM of 12,319 is 3828.
The greatest common factor of 848/12,992/319 = [GCF of 848,992]/[LCM of 12,319]= 16/3828
Therefore, the GCF of 848/12,992/319 is 16/3828.
To find the highest common factor of 848,992, we have to find the factors of both numbers and list the highest common factor.
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 848,992 is 16.
Lets's calculate GCF of 848,992
| 2 | 848, 992 |
| 2 | 424, 496 |
| 2 | 212, 248 |
| 2 | 106, 124 |
| 53, 62 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 848,992 By Matching Biggest Common Factor Method
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 848,992 . The biggest common factor number is the GCF number.
So the greatest common factor 848,992 is 16.
Lets's calculate LCM of 12,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 3828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3828
Therefore, the GCF of Fractions 848/12,992/319 is 16/3828
Least Common Multiple of 12,319 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 12,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,319) x common factors =1 x 1 = 1
LCM(12,319) = ( 12 × 319 ) / 1
LCM(12,319) = 3828 / 1
LCM(12,319) = 3828
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FAQs on GCF of Fractions of 848/12, 992/319
1. What is the HCF of 848,992?
The HCF of 848,992 is 16
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 848/12, 992/319?
Answer: GCF of Numerators as per given numbers 848/12, 992/319 is
GCF of Numerators i.e. for 848,992 is 16
LCM of denominators i.e. for 12,319 is 3828.
Thus, GCF of Fractions is 16/3828.Finally, GCF of Fractions for 848/12, 992/319 is 16/3828.