GCF of 992/14, 924/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 992/14, 924/814 i.e 4/5698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 992/14, 924/814.
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 992/14,924/814?
Given fractions are 992/14,924/814
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 992/14,924/814, numerators are 992,924
Denominators are 14,814
The GCF of 992,924 is 4 .
LCM of 14,814 is 5698.
The greatest common factor of 992/14,924/814 = [GCF of 992,924]/[LCM of 14,814]= 4/5698
Therefore, the GCF of 992/14,924/814 is 4/5698.
To find the highest common factor of 992,924, we have to find the factors of both numbers and list the highest common factor.
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The HCF of 992,924 is 4.
Lets's calculate GCF of 992,924
| 2 | 992, 924 |
| 2 | 496, 462 |
| 248, 231 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 992,924 By Matching Biggest Common Factor Method
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 992,924 . The biggest common factor number is the GCF number.
So the greatest common factor 992,924 is 4.
Lets's calculate LCM of 14,814
| 2 | 14, 814 |
| 7, 407 |
∴ So the LCM of the given numbers is 2 x 7 x 407 = 5698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5698
Therefore, the GCF of Fractions 992/14,924/814 is 4/5698
Least Common Multiple of 14,814 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 14,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,814) x common factors =2 x 1 = 2
LCM(14,814) = ( 14 × 814 ) / 2
LCM(14,814) = 11396 / 2
LCM(14,814) = 5698
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FAQs on GCF of Fractions of 992/14, 924/814
1. What is the HCF of 992,924?
The HCF of 992,924 is 4
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 992/14, 924/814?
Answer: GCF of Numerators as per given numbers 992/14, 924/814 is
GCF of Numerators i.e. for 992,924 is 4
LCM of denominators i.e. for 14,814 is 5698.
Thus, GCF of Fractions is 4/5698.Finally, GCF of Fractions for 992/14, 924/814 is 4/5698.