GCF of 924/52, 384/1039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 924/52, 384/1039 i.e 12/54028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/52, 384/1039.
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 924/52,384/1039?
Given fractions are 924/52,384/1039
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 924/52,384/1039, numerators are 924,384
Denominators are 52,1039
The GCF of 924,384 is 12 .
LCM of 52,1039 is 54028.
The greatest common factor of 924/52,384/1039 = [GCF of 924,384]/[LCM of 52,1039]= 12/54028
Therefore, the GCF of 924/52,384/1039 is 12/54028.
To find the highest common factor of 924,384, we have to find the factors of both numbers and list the highest common factor.
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 factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The HCF of 924,384 is 12.
Lets's calculate GCF of 924,384
| 2 | 924, 384 |
| 2 | 462, 192 |
| 3 | 231, 96 |
| 77, 32 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 924,384 By Matching Biggest Common Factor Method
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
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 924,384 . The biggest common factor number is the GCF number.
So the greatest common factor 924,384 is 12.
Lets's calculate LCM of 52,1039
Given numbers has no common factors except 1. So, there LCM is their product i.e 54028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/54028
Therefore, the GCF of Fractions 924/52,384/1039 is 12/54028
Least Common Multiple of 52,1039 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 52,1039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,1039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,1039) x common factors =1 x 1 = 1
LCM(52,1039) = ( 52 × 1039 ) / 1
LCM(52,1039) = 54028 / 1
LCM(52,1039) = 54028
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FAQs on GCF of Fractions of 924/52, 384/1039
1. What is the HCF of 924,384?
The HCF of 924,384 is 12
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 924/52, 384/1039?
Answer: GCF of Numerators as per given numbers 924/52, 384/1039 is
GCF of Numerators i.e. for 924,384 is 12
LCM of denominators i.e. for 52,1039 is 54028.
Thus, GCF of Fractions is 12/54028.Finally, GCF of Fractions for 924/52, 384/1039 is 12/54028.